All Stories

  1. Volterra-Prabhakar function of distributed order and some applications

    Article • Journal of Computational and Applied Mathematics, December 2023, Elsevier

    Prof Dr Trifce Sandev

  2. Bernoulli trial under restarts: A comparative study of resetting transitions

    Article • November 2023, American Physical Society (APS)

    Prof Dr Trifce Sandev

  3. Random Walks on Comb-like Structures under Stochastic Resetting

    Article • Entropy, November 2023, MDPI AG

    Prof Dr Trifce Sandev

  4. A first passage under resetting approach to income dynamics

    Article • Chaos Solitons & Fractals, October 2023, Elsevier

    Prof Dr Trifce Sandev

  5. Ornstein–Uhlenbeck Process on Three-Dimensional Comb under Stochastic Resetting

    Article • Mathematics, August 2023, MDPI AG

    Prof Dr Trifce Sandev

  6. Topological Subordination in Quantum Mechanics

    Article • Fractal and Fractional, May 2023, MDPI AG

    Prof Dr Trifce Sandev

  7. Ornstein-Uhlenbeck process and generalizations: Particle dynamics under comb constraints and stochastic resetting

    Article • May 2023, American Physical Society (APS)

    Prof Dr Trifce Sandev

  8. Random Walks on Networks with Centrality-Based Stochastic Resetting

    Article • Entropy, February 2023, MDPI AG

    Prof Dr Trifce Sandev

  9. Stochastic dynamics with multiplicative dichotomic noise: Heterogeneous telegrapher’s equation, anomalous crossovers and resetting

    Article • Chaos Solitons & Fractals, December 2022, Elsevier

    Prof Dr Trifce Sandev

  10. Editorial for Special Issue “Fractional Dynamics: Theory and Applications”

    Article • Fractal and Fractional, November 2022, MDPI AG

    Prof Dr Trifce Sandev

  11. FRONT MATTER

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  12. Mathematical background

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  13. Fox H-function and related functions

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  14. Elements of random walk theory

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  15. CTRW on combs

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  16. Heterogeneous diffusion processes

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  17. Diffusion processes with stochastic resetting

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  18. Random search

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  19. Diffusion on fractal tartan

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  20. Finite-velocity diffusion

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  21. BACK MATTER

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  22. Generalized diffusion and random search processes

    Article • Journal of Statistical Mechanics Theory and Experiment, September 2022, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  23. Non-Markovian SIR epidemic spreading model of COVID-19

    Article • Chaos Solitons & Fractals, July 2022, Elsevier

    Prof Dr Trifce Sandev

  24. General approach to stochastic resetting

    Article • June 2022, American Physical Society (APS)

    Prof Dr Trifce Sandev

  25. Asymmetric Lévy Flights Are More Efficient in Random Search

    Article • Fractal and Fractional, May 2022, MDPI AG

    Prof Dr Trifce Sandev

  26. Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, April 2022, Royal Society Publishing

    Prof Dr Trifce Sandev

  27. Autocorrelation functions and ergodicity in diffusion with stochastic resetting

    Article • Journal of Physics A Mathematical and Theoretical, February 2022, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  28. Tuning of the Dielectric Relaxation and Complex Susceptibility in a System of Polar Molecules: A Generalised Model Based on Rotational Diffusion with Resetting

    Article • Fractal and Fractional, February 2022, MDPI AG

    Prof Dr Trifce Sandev

  29. Heterogeneous diffusion with stochastic resetting

    Article • Journal of Physics A Mathematical and Theoretical, January 2022, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  30. From continuous-time random walks to the fractional Jeffreys equation: Solution and properties

    Article • International Journal of Heat and Mass Transfer, December 2021, Elsevier

    Prof Dr Trifce Sandev

  31. Special Functions of Fractional Calculus

    Article • November 2021, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  32. Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers: I. Retarding case

    Article • Chaos Solitons & Fractals, November 2021, Elsevier

    Prof Dr Trifce Sandev

  33. Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting

    Article • Journal of Physics A Mathematical and Theoretical, September 2021, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  34. Geometric Brownian motion under stochastic resetting: A stationary yet nonergodic process

    Article • July 2021, American Physical Society (APS)

    Prof Dr Trifce Sandev

  35. First encounters on Bethe lattices and Cayley trees

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

    Prof Dr Trifce Sandev

  36. Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials

    Article • Modern Physics Letters A, February 2021, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  37. Continuous time random walks under Markovian resetting

    Article • February 2021, American Physical Society (APS)

    Prof Dr Trifce Sandev

  38. Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation

    Article • Modern Physics Letters A, January 2021, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  39. Diffusion–Advection Equations on a Comb: Resetting and Random Search

    Article • Mathematics, January 2021, MDPI AG

    Prof Dr Trifce Sandev

  40. Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing

    Article • Entropy, December 2020, MDPI AG

    Prof Dr Trifce Sandev

  41. Resetting dynamics in a confining potential

    Article • Journal of Physics A Mathematical and Theoretical, November 2020, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  42. Fractional Diffusion to a Cantor Set in 2D

    Article • Fractal and Fractional, November 2020, MDPI AG

    Prof Dr Trifce Sandev

  43. Hitting times in turbulent diffusion due to multiplicative noise

    Article • October 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  44. Generalized Cattaneo (telegrapher's) equations in modeling anomalous diffusion phenomena

    Article • August 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  45. Stochastic resetting on comblike structures

    Article • Physical Review Research, July 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  46. Diffusion—Reaction processes on a backbone structure

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2020, Elsevier

    Prof Dr Trifce Sandev

  47. Anomalous diffusion and random search in xyz-comb: exact results

    Article • Journal of Statistical Mechanics Theory and Experiment, May 2020, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  48. Reaction and ultraslow diffusion on comb structures

    Article • April 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  49. Quenched and annealed disorder mechanisms in comb models with fractional operators

    Article • February 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  50. Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation

    Article • Journal of Physics A Mathematical and Theoretical, February 2020, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  51. Random search on comb

    Article • Journal of Physics A Mathematical and Theoretical, October 2019, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  52. Reliability of Poisson–Nernst–Planck Anomalous Models for Impedance Spectroscopy

    Article • The Journal of Physical Chemistry B, August 2019, American Chemical Society (ACS)

    Prof Dr Trifce Sandev

  53. Solutions for a fractional diffusion equation in heterogeneous media

    Article • Journal of Statistical Mechanics Theory and Experiment, March 2019, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  54. The time-dependent Schrödinger equation in three dimensions under geometric constraints

    Article • Journal of Mathematical Physics, March 2019, American Institute of Physics

    Prof Dr Trifce Sandev

  55. Fractional Equations and Models

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  56. Cauchy Type problems: in Fractional equations and models

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  57. Generalized Langevin Equation

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  58. Fractional Generalized Langevin Equation

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  59. Generalized Differential and Integral Operators

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  60. Fractional Wave Equations

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  61. Introduction: Mittag-Leffler and Other Related Functions

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  62. Constrained quantum motion in δ-potential and application of a generalized integral operator

    Article • Computers & Mathematics with Applications, December 2018, Elsevier

    Prof Dr Trifce Sandev

  63. Generalized diffusion-wave equation with memory kernel

    Article • Journal of Physics A Mathematical and Theoretical, November 2018, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  64. Finite-velocity diffusion on a comb

    Article • EPL (Europhysics Letters), November 2018, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  65. Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

    Article • New Journal of Physics, October 2018, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  66. Models for characterizing the transition among anomalous diffusions with different diffusion exponents

    Article • Journal of Physics A Mathematical and Theoretical, September 2018, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  67. Heterogeneous diffusion in comb and fractal grid structures

    Article • Chaos Solitons & Fractals, September 2018, Elsevier

    Prof Dr Trifce Sandev

  68. From continuous time random walks to the generalized diffusion equation

    Article • Fractional Calculus and Applied Analysis, February 2018, De Gruyter

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  69. Generalized time-dependent Schrödinger equation in two dimensions under constraints

    Article • Journal of Mathematical Physics, January 2018, American Institute of Physics

    Prof Dr Trifce Sandev

  70. Generalized Langevin Equation and the Prabhakar Derivative

    Article • Mathematics, November 2017, MDPI AG

    Prof Dr Trifce Sandev

  71. Beyond monofractional kinetics

    Article • Chaos Solitons & Fractals, September 2017, Elsevier

    Prof Dr Trifce Sandev

  72. Distributed-order wave equations with composite time fractional derivative

    Article • International Journal of Computer Mathematics, August 2017, Taylor & Francis

    Prof Dr Trifce Sandev

  73. Anomalous diffusion on a fractal mesh

    Article • May 2017, American Physical Society (APS)

    Prof Dr Trifce Sandev

  74. Generalized Langevin equation with tempered memory kernel

    Article • Physica A Statistical Mechanics and its Applications, January 2017, Elsevier

    Prof Dr Trifce Sandev

  75. Effective Potential from the Generalized Time-Dependent Schrödinger Equation

    Article • Mathematics, September 2016, MDPI AG

    Prof Dr Trifce Sandev

  76. Generalized distributed order diffusion equations with composite time fractional derivative

    Article • Computers & Mathematics with Applications, August 2016, Elsevier

    Prof Dr Trifce Sandev

  77. Lévy processes on a generalized fractal comb

    Article • Journal of Physics A Mathematical and Theoretical, July 2016, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  78. Comb Model with Slow and Ultraslow Diffusion

    Article • Mathematical Modelling of Natural Phenomena, January 2016, EDP Sciences

    Prof Dr Trifce Sandev

  79. Lévy Transport in Slab Geometry of Inhomogeneous Media

    Article • Mathematical Modelling of Natural Phenomena, January 2016, EDP Sciences

    Dr Alexander Iomin, Prof Dr Trifce Sandev

  80. Distributed-order diffusion equations and multifractality: Models and solutions

    Article • Physical Review E, October 2015, American Physical Society (APS)

    Prof Dr Trifce Sandev

  81. Analytical Solution of Generalized Space-Time Fractional Cable Equation

    Article • Mathematics, April 2015, MDPI AG

    Prof Dr Trifce Sandev

  82. Fractional diffusion on a fractal grid comb

    Article • Physical Review E, March 2015, American Physical Society (APS)

    Prof Dr Trifce Sandev

  83. Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  84. Space-Time Fractional Schrödinger Equation With Composite Time Fractional Derivative

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Prof Dr Trifce Sandev, Dr Johan LA Dubbeldam

  85. Time-dependent Schrödinger-like equation with nonlocal term

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

    Prof Dr Trifce Sandev

  86. Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise

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

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  87. Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions

    Article • Physics Letters A, January 2014, Elsevier

    Prof Dr Trifce Sandev

  88. Langevin equation for a free particle driven by power law type of noises

    Article • Physics Letters A, January 2014, Elsevier

    Prof Dr Trifce Sandev

  89. Exact solutions for fractional diffusion equation in a bounded domain with different boundary conditions

    Article • Nonlinear Dynamics, January 2013, Springer Science + Business Media

    Prof Dr Trifce Sandev

  90. Axially symmetrical molecules in electric and magnetic fields: energy spectrum and selection rules

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

    Prof Dr Trifce Sandev

  91. Velocity and displacement correlation functions for fractional generalized Langevin equations

    Article • Fractional Calculus and Applied Analysis, June 2012, Springer Science + Business Media

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  92. Fractional wave equation with a frictional memory kernel of Mittag-Leffler type

    Article • Applied Mathematics and Computation, June 2012, Elsevier

    Prof Dr Trifce Sandev

  93. Generalized space–time fractional diffusion equation with composite fractional time derivative

    Article • Physica A Statistical Mechanics and its Applications, April 2012, Elsevier

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  94. Generalized Langevin equation with a three parameter Mittag-Leffler noise

    Article • Physica A Statistical Mechanics and its Applications, October 2011, Elsevier

    Prof Dr Trifce Sandev

  95. Effects of a fractional friction with power-law memory kernel on string vibrations

    Article • Computers & Mathematics with Applications, August 2011, Elsevier

    Prof Dr Trifce Sandev

  96. Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

    Article • Journal of Physics A Mathematical and Theoretical, May 2011, Institute of Physics Publishing

    Professor Ralf Metzler, Prof Dr Trifce Sandev

  97. Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise

    Article • Physica Scripta, November 2010, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  98. Delayed feedback control of fractional-order chaotic systems

    Article • Journal of Physics A Mathematical and Theoretical, October 2010, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  99. Splitting of Spectra in Anharmonic Oscillators Described by Kratzer Potential Function

    Article • Communications in Theoretical Physics, July 2010, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  100. The general time fractional wave equation for a vibrating string

    Article • Journal of Physics A Mathematical and Theoretical, January 2010, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  101. Thermoelectric mechanism of electromagnetic-acoustic transformation in organic conductors

    Article • EPL (Europhysics Letters), January 2008, Institute of Physics Publishing

    Prof Dr Trifce Sandev