All Stories

  1. General fractional calculus in non-integer dimensional space

    Article • Boletín de la Sociedad Matemática Mexicana, February 2026, Springer Science + Business Media

    Professor Vasily E Tarasov

  2. Comments on “Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua”, [Chaos, Solitons and Fractals. 168 (2023) 113203]

    Article • Chaos Solitons & Fractals, February 2026, Elsevier

    Professor Vasily E Tarasov

  3. (Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2025, Elsevier

    Professor Vasily E Tarasov

  4. Calculus in Non-Integer-Dimensional Space: Tool for Fractal Physics

    Article • Fractal and Fractional, November 2025, MDPI AG

    Professor Vasily E Tarasov

  5. Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps

    Article • Entropy, October 2025, MDPI AG

    Professor Vasily E Tarasov

  6. Periodically Kicked Rotator with Power-Law Memory: Exact Solution and Discrete Maps

    Article • Fractal and Fractional, July 2025, MDPI AG

    Professor Vasily E Tarasov

  7. Multi-Kernel Discrete Maps with Memory from General Fractional Differential and Integral Equations

    Article • Nonlinear Dynamics, July 2025, Springer Science + Business Media

    Professor Vasily E Tarasov

  8. Prigogine–Resibois master equation with power-law kernel: quantum dynamics with memory

    Article • The European Physical Journal Plus, April 2025, Springer Science + Business Media

    Professor Vasily E Tarasov

  9. “Conformable fractional” derivatives and integrals are integer-order operators: Physical and geometrical interpretations, applications to fractal physics

    Article • Chaos Solitons & Fractals, March 2025, Elsevier

    Professor Vasily E Tarasov

  10. Non-Additivity and Additivity in General Fractional Calculus and Its Physical Interpretations

    Article • Fractal and Fractional, September 2024, MDPI AG

    Professor Vasily E Tarasov

  11. General Fractional Economic Dynamics with Memory

    Article • Mathematics, August 2024, MDPI AG

    Professor Vasily E Tarasov

  12. Parametric general fractional calculus: nonlocal operators acting on function with respect to another function

    Article • Computational and Applied Mathematics, April 2024, Springer Science + Business Media

    Professor Vasily E Tarasov

  13. Exact Finite-Difference Calculus: Beyond Set of Entire Functions

    Article • Mathematics, March 2024, MDPI AG

    Professor Vasily E Tarasov

  14. Discrete maps with distributed memory fading parameter

    Article • Computational and Applied Mathematics, March 2024, Springer Science + Business Media

    Professor Vasily E Tarasov

  15. General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem

    Article • Physica D Nonlinear Phenomena, January 2024, Elsevier

    Professor Vasily E Tarasov

  16. Generalization of Noether Theorem and action principle for non-Lagrangian theories

    Article • Communications in Nonlinear Science and Numerical Simulation, January 2024, Elsevier

    Professor Vasily E Tarasov

  17. Metric-affine gravity: Nonmetricity of space as dark matter/energy ?

    Article • Physics of the Dark Universe, December 2023, Elsevier

    Professor Vasily E Tarasov

  18. General Fractional Noether Theorem and Non-Holonomic Action Principle

    Article • Mathematics, October 2023, MDPI AG

    Professor Vasily E Tarasov

  19. Scale-Invariant General Fractional Calculus: Mellin Convolution Operators

    Article • Fractal and Fractional, June 2023, MDPI AG

    Professor Vasily E Tarasov

  20. General Nonlocal Probability of Arbitrary Order

    Article • Entropy, June 2023, MDPI AG

    Professor Vasily E Tarasov

  21. Multi-Kernel General Fractional Calculus of Arbitrary Order

    Article • Mathematics, April 2023, MDPI AG

    Professor Vasily E Tarasov

  22. General Fractional Calculus in Multi-Dimensional Space: Riesz Form

    Article • Mathematics, March 2023, MDPI AG

    Professor Vasily E Tarasov

  23. Fractional Probability Theory of Arbitrary Order

    Article • Fractal and Fractional, February 2023, MDPI AG

    Professor Vasily E Tarasov

  24. Nonlocal statistical mechanics: General fractional Liouville equations and their solutions

    Article • Physica A Statistical Mechanics and its Applications, January 2023, Elsevier

    Professor Vasily E Tarasov

  25. Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy

    Article • Entropy, December 2022, MDPI AG

    Professor Vasily E Tarasov

  26. Nonlocal classical theory of gravity: massiveness of nonlocality and mass shielding by nonlocality

    Article • The European Physical Journal Plus, December 2022, Springer Science + Business Media

    Professor Vasily E Tarasov

  27. Nonlocal Probability Theory: General Fractional Calculus Approach

    Article • Mathematics, October 2022, MDPI AG

    Professor Vasily E Tarasov

  28. General non-local electrodynamics: Equations and non-local effects

    Article • Annals of Physics, October 2022, Elsevier

    Professor Vasily E Tarasov

  29. Fractional Dynamics with Depreciation and Obsolescence: Equations with Prabhakar Fractional Derivatives

    Article • Mathematics, May 2022, MDPI AG

    Professor Vasily E Tarasov

  30. General Non-Local Continuum Mechanics: Derivation of Balance Equations

    Article • Mathematics, April 2022, MDPI AG

    Professor Vasily E Tarasov

  31. Trends, directions for further research, and some open problems of fractional calculus

    Article • Nonlinear Dynamics, January 2022, Springer Science + Business Media

    Professor Vasily E Tarasov

  32. From fractional differential equations with Hilfer derivatives

    Article • Computational and Applied Mathematics, November 2021, Springer Science + Business Media

    Professor Vasily E Tarasov

  33. General Fractional Vector Calculus

    Article • Mathematics, November 2021, MDPI AG

    Professor Vasily E Tarasov

  34. Fractional dynamics with non-local scaling

    Article • Communications in Nonlinear Science and Numerical Simulation, November 2021, Elsevier

    Professor Vasily E Tarasov

  35. Non-Markovian dynamics of open quantum system with memory

    Article • Annals of Physics, November 2021, Elsevier

    Professor Vasily E Tarasov

  36. Nonlinear fractional dynamics with Kicks

    Article • Chaos Solitons & Fractals, October 2021, Elsevier

    Professor Vasily E Tarasov

  37. General Non-Markovian Quantum Dynamics

    Article • Entropy, July 2021, MDPI AG

    Professor Vasily E Tarasov

  38. Nonlocal quantum system with fractal distribution of states

    Article • Physica A Statistical Mechanics and its Applications, July 2021, Elsevier

    Professor Vasily E Tarasov

  39. General Fractional Calculus: Multi-Kernel Approach

    Article • Mathematics, June 2021, MDPI AG

    Professor Vasily E Tarasov

  40. General Fractional Dynamics

    Article • Mathematics, June 2021, MDPI AG

    Professor Vasily E Tarasov

  41. Integral Equations of Non-Integer Orders and Discrete Maps with Memory

    Article • Mathematics, May 2021, MDPI AG

    Professor Vasily E Tarasov

  42. Predator‐prey models with memory and kicks: Exact solution and discrete maps with memory

    Article • Mathematical Methods in the Applied Sciences, May 2021, Wiley

    Professor Vasily E Tarasov

  43. Quantum Maps with Memory from Generalized Lindblad Equation

    Article • Entropy, April 2021, MDPI AG

    Professor Vasily E Tarasov

  44. Nonlinear growth model with long memory: generalization of Haavelmo model

    Article • Nonlinear Dynamics, April 2021, Springer Science + Business Media

    Professor Vasily E Tarasov

  45. Corrigendum to “Fractional nonlinear dynamics of learning with memory” nonlinear dynamics. 2020. Vol.100. P.1231–1242.

    Article • Nonlinear Dynamics, January 2021, Springer Science + Business Media

    Professor Vasily E Tarasov

  46. Exact Solutions of Bernoulli and Logistic Fractional Differential Equations with Power Law Coefficients

    Article • Mathematics, December 2020, MDPI AG

    Professor Vasily E Tarasov

  47. Non-Linear Macroeconomic Models of Growth with Memory

    Article • Mathematics, November 2020, MDPI AG

    Professor Vasily E Tarasov

  48. Lattice fractional quantum field theory: Exact differences approach

    Article • Modern Physics Letters A, November 2020, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  49. Fractional econophysics: Market price dynamics with memory effects

    Article • Physica A Statistical Mechanics and its Applications, November 2020, Elsevier

    Professor Vasily E Tarasov

  50. Cagan model of inflation with power-law memory effects

    Article • Computational and Applied Mathematics, July 2020, Springer Science + Business Media

    Professor Vasily E Tarasov

  51. Dirac particle with memory: Proper time non-locality

    Article • Physics Letters A, May 2020, Elsevier

    Professor Vasily E Tarasov

  52. Mathematical Economics: Application of Fractional Calculus

    Article • Mathematics, April 2020, MDPI AG

    Professor Vasily E Tarasov

  53. Exact discretization of non-commutative space-time

    Article • Modern Physics Letters A, April 2020, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  54. Extension of relativistic mechanics by maximum symmetry group of Maxwell equations

    Article • The European Physical Journal Plus, April 2020, Springer Science + Business Media

    Professor Vasily E Tarasov

  55. Fractional nonlinear dynamics of learning with memory

    Article • Nonlinear Dynamics, April 2020, Springer Science + Business Media

    Professor Vasily E Tarasov

  56. Fractional Derivatives and Integrals: What Are They Needed For?

    Article • Mathematics, January 2020, MDPI AG

    Professor Vasily E Tarasov

  57. Continuum Mechanics of Fractal Media

    Article • January 2020, Springer Science + Business Media

    Professor Vasily E Tarasov

  58. Rules for Fractional-Dynamic Generalizations: Difficulties of Constructing Fractional Dynamic Models

    Article • Mathematics, June 2019, MDPI AG

    Professor Vasily E Tarasov

  59. Logistic equation with continuously distributed lag and application in economics

    Article • Nonlinear Dynamics, June 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  60. On History of Mathematical Economics: Application of Fractional Calculus

    Article • Mathematics, June 2019, MDPI AG

    Professor Vasily E Tarasov

  61. Self-organization with memory

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2019, Elsevier

    Professor Vasily E Tarasov

  62. Caputo–Fabrizio operator in terms of integer derivatives: memory or distributed lag?

    Article • Computational and Applied Mathematics, May 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  63. Fractional and integer derivatives with continuously distributed lag

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2019, Elsevier

    Professor Vasily E Tarasov

  64. Economic models with power-law memory

    Article • April 2019, De Gruyter

    Professor Vasily E Tarasov

  65. On fractional and fractal formulations of gradient linear and nonlinear elasticity

    Article • Acta Mechanica, February 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  66. Applications in Physics, Part A

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  67. Applications in Physics, Part B

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  68. Fractional calculus and long-range interactions

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  69. Fractional electrodynamics with spatial dispersion

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  70. Fractional quantum mechanics of open quantum systems

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  71. Preface

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  72. Preface

    Article • February 2019, De Gruyter

    Professor Vasily E Tarasov

  73. Dynamic Keynesian Model of Economic Growth with Memory and Lag

    Article • Mathematics, February 2019, MDPI AG

    Professor Vasily E Tarasov

  74. Phillips model with exponentially distributed lag and power-law memory

    Article • Computational and Applied Mathematics, January 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  75. Harrod–Domar Growth Model with Memory and Distributed Lag

    Article • Axioms, January 2019, MDPI AG

    Professor Vasily E Tarasov

  76. Productivity with Fatigue and Long Memory: Fractional Calculus Approach

    Article • International Journal of Applied and Computational Mathematics, January 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  77. Fractional Nonlocal Continuum Mechanics and Microstructural Models

    Article • January 2019, Springer Science + Business Media

    Professor Vasily E Tarasov

  78. Probabilistic Interpretation of Kober Fractional Integral of Non-Integer Order

    Article • Progress in Fractional Differentiation and Applications, January 2019, Natural Sciences Publishing

    Professor Vasily E Tarasov

  79. Macroeconomic models with long dynamic memory: Fractional calculus approach

    Article • Applied Mathematics and Computation, December 2018, Elsevier

    Professor Vasily E Tarasov

  80. Generalized Memory: Fractional Calculus Approach

    Article • Fractal and Fractional, September 2018, MDPI AG

    Professor Vasily E Tarasov

  81. No nonlocality. No fractional derivative

    Article • Communications in Nonlinear Science and Numerical Simulation, September 2018, Elsevier

    Professor Vasily E Tarasov

  82. Criterion of Existence of Power-Law Memory for Economic Processes

    Article • Entropy, May 2018, MDPI AG

    Professor Vasily E Tarasov

  83. Concept of dynamic memory in economics

    Article • Communications in Nonlinear Science and Numerical Simulation, February 2018, Elsevier

    Professor Vasily E Tarasov

  84. Fractional Derivative Regularization in QFT

    Article • Advances in High Energy Physics, January 2018, Hindawi Publishing Corporation

    Professor Vasily E Tarasov

  85. Dynamic intersectoral models with power-law memory

    Article • Communications in Nonlinear Science and Numerical Simulation, January 2018, Elsevier

    Professor Vasily E Tarasov

  86. Fractional Deterministic Factor Analysis of Economic Processes with Memory and Nonlocality

    Article • November 2017, Springer Science + Business Media

    Professor Vasily E Tarasov

  87. Exact Discretization of an Economic Accelerator and Multiplier with Memory

    Article • Fractal and Fractional, September 2017, MDPI AG

    Professor Vasily E Tarasov

  88. Time-dependent fractional dynamics with memory in quantum and economic physics

    Article • Annals of Physics, August 2017, Elsevier

    Professor Vasily E Tarasov

  89. Fractional Mechanics of Elastic Solids: Continuum Aspects

    Article • Journal of Engineering Mechanics, May 2017, American Society of Civil Engineers (ASCE)

    Professor Vasily E Tarasov

  90. Interpretation of Fractional Derivatives as Reconstruction from Sequence of Integer Derivatives

    Article • Fundamenta Informaticae, March 2017, IOS Press

    Professor Vasily E Tarasov

  91. Logistic map with memory from economic model

    Article • Chaos Solitons & Fractals, February 2017, Elsevier

    Professor Vasily E Tarasov

  92. Exact discretization of fractional Laplacian

    Article • Computers & Mathematics with Applications, February 2017, Elsevier

    Professor Vasily E Tarasov

  93. Economic Interpretation of Fractional Derivatives

    Article • Progress in Fractional Differentiation and Applications, January 2017, Natural Sciences Publishing

    Professor Vasily E Tarasov

  94. Long and Short Memory in Economics: Fractional-Order Difference and Differentiation

    Article • IRA-International Journal of Management & Social Sciences (ISSN 2455-2267), December 2016, Institute of Research Advances

    Professor Vasily E Tarasov

  95. Exact Solution of T-Difference Radial Schrödinger Equation

    Article • International Journal of Applied and Computational Mathematics, October 2016, Springer Science + Business Media

    Professor Vasily E Tarasov

  96. Poiseuille equation for steady flow of fractal fluid

    Article • International Journal of Modern Physics B, September 2016, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  97. Some Identities with Generalized Hypergeometric Functions

    Article • Applied Mathematics & Information Sciences, September 2016, Natural Sciences Publishing

    Professor Vasily E Tarasov

  98. FRACTIONAL-ORDER VARIATIONAL DERIVATIVE

    Article • International Journal of Apllied Mathematics, August 2016, Academic Publications

    Professor Vasily E Tarasov

  99. Partial fractional derivatives of Riesz type and nonlinear fractional differential equations

    Article • Nonlinear Dynamics, August 2016, Springer Science + Business Media

    Professor Vasily E Tarasov

  100. What discrete model corresponds exactly to a gradient elasticity equation?

    Article • Journal of Mechanics of Materials and Structures, August 2016, Mathematical Sciences Publishers

    Professor Vasily E Tarasov

  101. Exact discretization by Fourier transforms

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2016, Elsevier

    Professor Vasily E Tarasov

  102. Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations

    Article • Mathematics, June 2016, MDPI AG

    Professor Vasily E Tarasov

  103. Acoustic waves in fractal media: Non-integer dimensional spaces approach

    Article • Wave Motion, June 2016, Elsevier

    Professor Vasily E Tarasov

  104. Electric field in media with power-law spatial dispersion

    Article • Modern Physics Letters B, April 2016, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  105. Heat transfer in fractal materials

    Article • International Journal of Heat and Mass Transfer, February 2016, Elsevier

    Professor Vasily E Tarasov

  106. United lattice fractional integro-differentiation

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Vasily E Tarasov

  107. Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives

    Article • Fractional Differential Calculus, January 2016, Element d.o.o.

    Professor Vasily E Tarasov

  108. Exact discretization of Schrödinger equation

    Article • Physics Letters A, January 2016, Elsevier

    Professor Vasily E Tarasov

  109. Discrete model of dislocations in fractional nonlocal elasticity

    Article • Journal of King Saud University - Science, January 2016, Elsevier

    Professor Vasily E Tarasov

  110. On chain rule for fractional derivatives

    Article • Communications in Nonlinear Science and Numerical Simulation, January 2016, Elsevier

    Professor Vasily E Tarasov

  111. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof. Virginia S. Kiryakova, Professor Dumitru Baleanu, Prof. Dr. Kai Diethelm, Prof. Roberto Garrappa, Prof. Dr. Yuri Luchko, Prof., Dr Raoul R. Nigmatullin, Prof. Manuel D Ortigueira, Professor Vasily E Tarasov, Teodor Atanackovic, Rachid Malti

  112. Geometric interpretation of fractional-order derivative

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Vasily E Tarasov

  113. Elasticity for economic processes with memory: fractional differential calculus approach

    Article • Fractional Differential Calculus, January 2016, Element d.o.o.

    Professor Vasily E Tarasov

  114. Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality

    Article • December 2015, De Gruyter

    Professor Vasily E Tarasov

  115. Electromagnetic waves in non-integer dimensional spaces and fractals

    Article • Chaos Solitons & Fractals, December 2015, Elsevier

    Professor Vasily E Tarasov

  116. Leibniz Rule and Fractional Derivatives of Power Functions

    Article • Journal of Computational and Nonlinear Dynamics, October 2015, ASME International

    Professor Vasily E Tarasov

  117. Fractional-order difference equations for physical lattices and some applications

    Article • Journal of Mathematical Physics, October 2015, American Institute of Physics

    Professor Vasily E Tarasov

  118. Three-Dimensional Lattice Approach to Fractional Generalization of Continuum Gradient Elasticity

    Article • Progress in Fractional Differentiation and Applications, October 2015, Natural Sciences Publishing

    Professor Vasily E Tarasov

  119. Variational principle of stationary action for fractional nonlocal media and fields

    Article • Pacific Journal of Mathematics for Industry, September 2015, Springer Science + Business Media

    Professor Vasily E Tarasov

  120. Fractal electrodynamics via non-integer dimensional space approach

    Article • Physics Letters A, September 2015, Elsevier

    Professor Vasily E Tarasov

  121. Comments on “The Minkowski's space–time is consistent with differential geometry of fractional order” [Phys. Lett. A 363 (2007) 5–11]

    Article • Physics Letters A, June 2015, Elsevier

    Professor Vasily E Tarasov

  122. COMMENTS ON "RIEMANN–CHRISTOFFEL TENSOR IN DIFFERENTIAL GEOMETRY OF FRACTIONAL ORDER APPLICATION TO FRACTAL SPACE-TIME", [FRACTALS 21 (2013) 1350004]

    Article • Fractals, June 2015, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  123. Three-dimensional lattice models with long-range interactions of Grünwald–Letnikov type for fractional generalization of gradient elasticity

    Article • Meccanica, May 2015, Springer Science + Business Media

    Professor Vasily E Tarasov

  124. Non-standard extensions of gradient elasticity: Fractional non-locality, memory and fractality

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2015, Elsevier

    Professor Vasily E Tarasov

  125. Local Fractional Derivatives of Differentiable Functions are Integer-order Derivatives or Zero

    Article • International Journal of Applied and Computational Mathematics, April 2015, Springer Science + Business Media

    Professor Vasily E Tarasov

  126. Lattice fractional calculus

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Vasily E Tarasov

  127. Lattice Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions for Gradient Elasticity

    Article • The interdisciplinary journal of Discontinuity Nonlinearity and Complexity, March 2015, L&H Scientific Publishing, LLC

    Professor Vasily E Tarasov

  128. Fractional Liouville equation on lattice phase-space

    Article • Physica A Statistical Mechanics and its Applications, March 2015, Elsevier

    Professor Vasily E Tarasov

  129. Vector calculus in non-integer dimensional space and its applications to fractal media

    Article • Communications in Nonlinear Science and Numerical Simulation, February 2015, Elsevier

    Professor Vasily E Tarasov

  130. Exact Discrete Analogs of Derivatives of Integer Orders: Differences as Infinite Series

    Article • Journal of Mathematics, January 2015, Hindawi Publishing Corporation

    Professor Vasily E Tarasov

  131. Elasticity of fractal materials using the continuum model with non-integer dimensional space

    Article • Comptes Rendus Mécanique, January 2015, Elsevier

    Professor Vasily E Tarasov

  132. Flow of fractal fluid in pipes: Non-integer dimensional space approach

    Article • Chaos Solitons & Fractals, October 2014, Elsevier

    Professor Vasily E Tarasov

  133. Large lattice fractional Fokker–Planck equation

    Article • Journal of Statistical Mechanics Theory and Experiment, September 2014, Institute of Physics Publishing

    Professor Vasily E Tarasov

  134. Toward lattice fractional vector calculus

    Article • Journal of Physics A Mathematical and Theoretical, August 2014, Institute of Physics Publishing

    Professor Vasily E Tarasov

  135. Anisotropic fractal media by vector calculus in non-integer dimensional space

    Article • Journal of Mathematical Physics, August 2014, American Institute of Physics

    Professor Vasily E Tarasov

  136. Lattice with long-range interaction of power-law type for fractional non-local elasticity

    Article • International Journal of Solids and Structures, August 2014, Elsevier

    Professor Vasily E Tarasov

  137. Non-linear fractional field equations: weak non-linearity at power-law non-locality

    Article • Nonlinear Dynamics, March 2014, Springer Science + Business Media

    Professor Vasily E Tarasov

  138. General lattice model of gradient elasticity

    Article • Modern Physics Letters B, March 2014, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  139. Lattice model of fractional gradient and integral elasticity: Long-range interaction of Grünwald–Letnikov–Riesz type

    Article • Mechanics of Materials, March 2014, Elsevier

    Professor Vasily E Tarasov

  140. Fractional Diffusion Equations for Lattice and Continuum: Grünwald-Letnikov Differences and Derivatives Approach

    Article • International Journal of Statistical Mechanics, January 2014, Hindawi Publishing Corporation

    Professor Vasily E Tarasov

  141. Fractional Gradient Elasticity from Spatial Dispersion Law

    Article • ISRN Condensed Matter Physics, January 2014, Hindawi Publishing Corporation

    Professor Vasily E Tarasov

  142. Fractional Quantum Field Theory: From Lattice to Continuum

    Article • Advances in High Energy Physics, January 2014, Hindawi Publishing Corporation

    Professor Vasily E Tarasov

  143. Toward fractional gradient elasticity

    Article • Journal of the Mechanical Behavior of Materials, January 2014, De Gruyter

    Professor Vasily E Tarasov

  144. No violation of the Leibniz rule. No fractional derivative

    Article • Communications in Nonlinear Science and Numerical Simulation, November 2013, Elsevier

    Professor Vasily E Tarasov

  145. Power-law spatial dispersion from fractional Liouville equation

    Article • Physics of Plasmas, October 2013, American Institute of Physics

    Professor Vasily E Tarasov

  146. Editorial

    Article • The European Physical Journal Special Topics, September 2013, Springer Science + Business Media

    Professor Vasily E Tarasov, Prof. Roberto Garrappa, Professor Juan J Trujillo

  147. Fractional power-law spatial dispersion in electrodynamics

    Article • Annals of Physics, July 2013, Elsevier

    Professor Vasily E Tarasov, Professor Juan J Trujillo

  148. REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS

    Article • International Journal of Modern Physics B, April 2013, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  149. Uncertainty relation for non-Hamiltonian quantum systems

    Article • Journal of Mathematical Physics, January 2013, American Institute of Physics

    Professor Vasily E Tarasov

  150. Lattice model with power-law spatial dispersion for fractional elasticity

    Article • Open Physics, January 2013, De Gruyter Open Sp. z o.o.

    Professor Vasily E Tarasov

  151. Fractional diffusion equations for open quantum system

    Article • Nonlinear Dynamics, June 2012, Springer Science + Business Media

    Professor Vasily E Tarasov

  152. Quantum dissipation from power-law memory

    Article • Annals of Physics, June 2012, Elsevier

    Professor Vasily E Tarasov

  153. The fractional oscillator as an open system

    Article • Open Physics, January 2012, De Gruyter Open Sp. z o.o.

    Professor Vasily E Tarasov

  154. Fractional Dynamics of Open Quantum Systems

    Article • October 2011, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  155. Relativistic non-Hamiltonian mechanics

    Article • Annals of Physics, October 2010, Elsevier

    Professor Vasily E Tarasov

  156. Fractional dissipative standard map

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2010, American Institute of Physics

    Professor Vasily E Tarasov

  157. Fractional Dynamics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  158. Electrodynamics of Fractal Distributions of Charges and Fields

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  159. Fokker-Planck Equation for Fractal Distributions of Probability

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  160. Fractal Rigid Body Dynamics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  161. Fractional Calculus of Variations in Dynamics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  162. Fractional Dynamical Systems

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  163. Fractional Dynamics and Discrete Maps with Memory

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  164. Fractional Dynamics of Hamiltonian Quantum Systems

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  165. Fractional Dynamics of Media with Long-Range Interaction

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  166. Fractional Dynamics of Open Quantum Systems

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  167. Fractional Exterior Calculus and Fractional Differential Forms

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  168. Fractional Ginzburg-Landau Equation

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  169. Fractional Integration and Fractals

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  170. Fractional Nonholonomic Dynamics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  171. Fractional Statistical Mechanics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  172. Fractional Temporal Electrodynamics

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  173. Fractional Vector Calculus

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  174. Fractional Zaslavsky and Hénon Discrete Maps

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  175. Ginzburg-Landau Equation for Fractal Media

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  176. Hydrodynamics of Fractal Media

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  177. Psi-Series Approach to Fractional Equations

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  178. Quantum Analogs of Fractional Derivatives

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  179. Statistical Mechanics of Fractal Phase Space Distributions

    Article • January 2010, Springer Science + Business Media

    Professor Vasily E Tarasov

  180. Fractional Dynamics of Relativistic Particle

    Article • International Journal of Theoretical Physics, December 2009, Springer Science + Business Media

    Professor Vasily E Tarasov

  181. Discrete map with memory from fractional differential equation of arbitrary positive order

    Article • Journal of Mathematical Physics, December 2009, American Institute of Physics

    Professor Vasily E Tarasov

  182. Fractional standard map

    Article • Physics Letters A, December 2009, Elsevier

    Professor Vasily E Tarasov

  183. Differential equations with fractional derivative and universal map with memory

    Article • Journal of Physics A Mathematical and Theoretical, October 2009, Institute of Physics Publishing

    Professor Vasily E Tarasov

  184. QUANTUM NANOTECHNOLOGY

    Article • International Journal of Nanoscience, August 2009, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  185. Fractional integro-differential equations for electromagnetic waves in dielectric media

    Article • Theoretical and Mathematical Physics, March 2009, Springer Science + Business Media

    Professor Vasily E Tarasov

  186. Fractional generalization of the quantum Markovian master equation

    Article • Theoretical and Mathematical Physics, February 2009, Springer Science + Business Media

    Professor Vasily E Tarasov

  187. Conservation laws and Hamilton’s equations for systems with long-range interaction and memory

    Article • Communications in Nonlinear Science and Numerical Simulation, November 2008, Elsevier

    Professor Vasily E Tarasov

  188. Fokker–Planck equation with fractional coordinate derivatives

    Article • Physica A Statistical Mechanics and its Applications, November 2008, Elsevier

    Professor Vasily E Tarasov

  189. Fractional vector calculus and fractional Maxwell’s equations

    Article • Annals of Physics, November 2008, Elsevier

    Professor Vasily E Tarasov

  190. Weyl quantization of fractional derivatives

    Article • Journal of Mathematical Physics, October 2008, American Institute of Physics

    Professor Vasily E Tarasov

  191. Fractional equations of kicked systems and discrete maps

    Article • Journal of Physics A Mathematical and Theoretical, September 2008, Institute of Physics Publishing

    Professor Vasily E Tarasov

  192. Universal electromagnetic waves in dielectric

    Article • Journal of Physics Condensed Matter, April 2008, Institute of Physics Publishing

    Professor Vasily E Tarasov

  193. Fractional Heisenberg equation

    Article • Physics Letters A, April 2008, Elsevier

    Professor Vasily E Tarasov

  194. Fractional equations of Curie–von Schweidler and Gauss laws

    Article • Journal of Physics Condensed Matter, March 2008, Institute of Physics Publishing

    Professor Vasily E Tarasov

  195. Fractional generalization of Kac integral

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2008, Elsevier

    Professor Vasily E Tarasov

  196. Chains with the fractal dispersion law

    Article • Journal of Physics A Mathematical and Theoretical, January 2008, Institute of Physics Publishing

    Professor Vasily E Tarasov

  197. A Very Few Preliminaries

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  198. Bibliography

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  199. Chapter 1 Quantum Kinematics of Bounded Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  200. Chapter 10 Superoperators and its Properties

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  201. Chapter 11 Superoperator Algebras and Spaces

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  202. Chapter 12 Superoperator Functions

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  203. Chapter 13 Semi-Groups of Superoperators

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  204. Chapter 14 Differential Equations for Quantum Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  205. Chapter 15 Quantum Dynamical Semi-Group

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  206. Chapter 16 Classical Non-Hamiltonian Dynamics

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  207. Chapter 17 Quantization of Dynamical Structure

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  208. Chapter 18 Quantum Dynamics of States

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  209. Chapter 19 Dynamical Deformation of Algebras of Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  210. Chapter 2 Quantum Kinematics of Unbounded Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  211. Chapter 20 Fractional Quantum Dynamics

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  212. Chapter 21 Stationary States of Non-Hamiltonian Systems

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  213. Chapter 22 Quantum Dynamical Methods

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  214. Chapter 23 Path Integral for Non-Hamiltonian Systems

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  215. Chapter 24 Non-Hamiltonian Systems as Quantum Computers

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  216. Chapter 3 Mathematical Structures in Quantum Kinematics

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  217. Chapter 4 Spaces of Quantum Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  218. Chapter 5 Algebras of Quantum Observables

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  219. Chapter 6 Mathematical Structures on State Sets

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  220. Chapter 7 Mathematical Structures in Classical Kinematics

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  221. Chapter 8 Quantization in Kinematics

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  222. Chapter 9 Spectral Representation of Observable

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  223. Preface

    Article • January 2008, Elsevier

    Professor Vasily E Tarasov

  224. Coupled oscillators with power-law interaction and their fractional dynamics analogues

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2007, Elsevier

    Professor Vasily E Tarasov

  225. Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2007, American Institute of Physics

    Professor Vasily E Tarasov

  226. Fractional dynamics of systems with long-range space interaction and temporal memory

    Article • Physica A Statistical Mechanics and its Applications, September 2007, Elsevier

    Professor Vasily E Tarasov

  227. FOKKER–PLANCK EQUATION FOR FRACTIONAL SYSTEMS

    Article • International Journal of Modern Physics B, March 2007, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  228. FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE

    Article • International Journal of Mathematics, March 2007, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  229. LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES

    Article • Modern Physics Letters B, February 2007, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  230. THE FRACTIONAL CHAPMAN–KOLMOGOROV EQUATION

    Article • Modern Physics Letters B, February 2007, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  231. Fractional dynamics of systems with long-range interaction

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2006, Elsevier

    Professor Vasily E Tarasov

  232. Continuous limit of discrete systems with long-range interaction

    Article • Journal of Physics A General Physics, November 2006, Institute of Physics Publishing

    Professor Vasily E Tarasov

  233. Map of discrete system into continuous

    Article • Journal of Mathematical Physics, September 2006, American Institute of Physics

    Professor Vasily E Tarasov

  234. Dynamics with low-level fractionality

    Article • Physica A Statistical Mechanics and its Applications, August 2006, Elsevier

    Professor Vasily E Tarasov

  235. Fractional statistical mechanics

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, July 2006, American Institute of Physics

    Professor Vasily E Tarasov

  236. Nonholonomic constraints with fractional derivatives

    Article • Journal of Physics A General Physics, July 2006, Institute of Physics Publishing

    Professor Vasily E Tarasov

  237. ELECTROMAGNETIC FIELDS ON FRACTALS

    Article • Modern Physics Letters A, June 2006, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  238. Fractional variations for dynamical systems: Hamilton and Lagrange approaches

    Article • Journal of Physics A General Physics, June 2006, Institute of Physics Publishing

    Professor Vasily E Tarasov

  239. Psi-series solution of fractional Ginzburg–Landau equation

    Article • Journal of Physics A General Physics, June 2006, Institute of Physics Publishing

    Professor Vasily E Tarasov

  240. Fractional dynamics of coupled oscillators with long-range interaction

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, May 2006, American Institute of Physics

    Professor Vasily E Tarasov

  241. Magnetohydrodynamics of fractal media

    Article • Physics of Plasmas, May 2006, American Institute of Physics

    Professor Vasily E Tarasov

  242. TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS

    Article • International Journal of Modern Physics B, January 2006, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  243. Gravitational Field of Fractal Distribution of Particles

    Article • Celestial Mechanics and Dynamical Astronomy, January 2006, Springer Science + Business Media

    Professor Vasily E Tarasov

  244. DYNAMICS OF FRACTAL SOLIDS

    Article • International Journal of Modern Physics B, October 2005, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  245. MULTIPOLE MOMENTS OF FRACTAL DISTRIBUTION OF CHARGES

    Article • Modern Physics Letters B, September 2005, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  246. Fractional Ginzburg–Landau equation for fractal media

    Article • Physica A Statistical Mechanics and its Applications, August 2005, Elsevier

    Professor Vasily E Tarasov

  247. Fractional hydrodynamic equations for fractal media

    Article • Annals of Physics, August 2005, Elsevier

    Professor Vasily E Tarasov

  248. Electromagnetic field of fractal distribution of charged particles

    Article • Physics of Plasmas, July 2005, American Institute of Physics

    Professor Vasily E Tarasov

  249. Fractional Generalization of Gradient Systems

    Article • Letters in Mathematical Physics, July 2005, Springer Science + Business Media

    Professor Vasily E Tarasov

  250. WAVE EQUATION FOR FRACTAL SOLID STRING

    Article • Modern Physics Letters B, June 2005, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  251. Fractional generalization of gradient and Hamiltonian systems

    Article • Journal of Physics A General Physics, June 2005, Institute of Physics Publishing

    Professor Vasily E Tarasov

  252. Possible experimental test of continuous medium model for fractal media

    Article • Physics Letters A, June 2005, Elsevier

    Professor Vasily E Tarasov

  253. Fractional Fokker–Planck equation for fractal media

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2005, American Institute of Physics

    Professor Vasily E Tarasov

  254. Stationary solutions of Liouville equations for non-Hamiltonian systems

    Article • Annals of Physics, April 2005, Elsevier

    Professor Vasily E Tarasov

  255. Continuous medium model for fractal media

    Article • Physics Letters A, March 2005, Elsevier

    Professor Vasily E Tarasov

  256. Phase-space metric for non-Hamiltonian systems

    Article • Journal of Physics A General Physics, February 2005, Institute of Physics Publishing

    Professor Vasily E Tarasov

  257. THERMODYNAMICS OF FEW-PARTICLE SYSTEMS

    Article • International Journal of Modern Physics B, February 2005, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  258. Fractional systems and fractional Bogoliubov hierarchy equations

    Article • Physical Review E, January 2005, American Physical Society (APS)

    Professor Vasily E Tarasov

  259. Fractional Generalization of Ginzburg-Landau and Nonlinear Schroedinger Equations

    Article • January 2005, ASME International

    Professor Vasily E Tarasov

  260. Fractional generalization of Liouville equations

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2004, American Institute of Physics

    Professor Vasily E Tarasov

  261. Path integral for quantum operations

    Article • Journal of Physics A General Physics, February 2004, Institute of Physics Publishing

    Professor Vasily E Tarasov

  262. CLASSICAL CANONICAL DISTRIBUTION FOR DISSIPATIVE SYSTEMS

    Article • Modern Physics Letters B, October 2003, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  263. Pure stationary states of open quantum systems

    Article • Physical Review E, November 2002, American Physical Society (APS)

    Professor Vasily E Tarasov

  264. Stationary states of dissipative quantum systems

    Article • Physics Letters A, July 2002, Elsevier

    Professor Vasily E Tarasov

  265. Quantum computer with mixed states and four-valued logic

    Article • Journal of Physics A General Physics, June 2002, Institute of Physics Publishing

    Professor Vasily E Tarasov

  266. Quantization of non-Hamiltonian and dissipative systems

    Article • Physics Letters A, September 2001, Elsevier

    Professor Vasily E Tarasov

  267. Quantum dissipative systems. IV. Analogues of Lie algebras and groups

    Article • Theoretical and Mathematical Physics, February 1997, Springer Science + Business Media

    Professor Vasily E Tarasov

  268. Quantum dissipative systems. III. Definition and algebraic structure

    Article • Theoretical and Mathematical Physics, January 1997, Springer Science + Business Media

    Professor Vasily E Tarasov

  269. Quantum dissipative systems. II. String in a curved affine—Metric spacetime

    Article • Theoretical and Mathematical Physics, October 1994, Springer Science + Business Media

    Professor Vasily E Tarasov

  270. Quantum dissipative systems. I. Canonical quantization and quantum Liouville equation

    Article • Theoretical and Mathematical Physics, September 1994, Springer Science + Business Media

    Professor Vasily E Tarasov

  271. TWO-LOOP BETA-FUNCTION FOR NONLINEAR SIGMA-MODEL WITH AFFINE METRIC MANIFOLD

    Article • Modern Physics Letters A, August 1994, World Scientific Pub Co Pte Lt

    Professor Vasily E Tarasov

  272. Bosonic string in affine-metric curved space

    Article • Physics Letters B, March 1994, Elsevier

    Professor Vasily E Tarasov

  273. Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds

    Article • Theoretical and Mathematical Physics, March 1989, Springer Science + Business Media

    Professor Vasily E Tarasov