All Stories

  1. Heterogeneous Cattaneo–Vernotte equation connection to the noisy voter model

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2026, American Institute of Physics

    Prof Dr Trifce Sandev

  2. Comb Model in Periodic Potential

    Article • Entropy, January 2026, MDPI AG

    Prof Dr Trifce Sandev

  3. Anomalous diffusion and fluctuations in complex systems and networks

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, January 2026, American Institute of Physics

    Prof Dr Trifce Sandev

  4. Shear-driven finite-velocity diffusion and its generalization

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, January 2026, American Institute of Physics

    Prof Dr Trifce Sandev

  5. Generalized Diffusion Process with Nonlocal Interactions: Continuous Time Random Walk Model and Stochastic Resetting

    Article • Reports on Mathematical Physics, December 2025, Elsevier

    Prof Dr Trifce Sandev

  6. Response to an external field of a generalized Langevin equation with stochastic resetting of the memory kernel

    Article • Physical Review E, August 2025, American Physical Society (APS)

    Prof Dr Trifce Sandev, Aleksandra Popovska-Mitrovikj

  7. From standard to generalized Schrödinger and Klein–Gordon equations: Subordination approach

    Article • Annals of Physics, August 2025, Elsevier

    Prof Dr Trifce Sandev

  8. Fractional telegrapher’s equation with generalized memory kernels: characteristic crossover anomalous dynamics

    Article • Physica Scripta, June 2025, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  9. Shear-driven anomalous diffusion: Memory effects and stochastic resetting

    Article • Physics of Fluids, June 2025, American Institute of Physics

    Prof Dr Trifce Sandev

  10. First-passage times for generalized heterogeneous telegrapher's processes

    Article • Physical Review E, April 2025, American Physical Society (APS)

    Prof Dr Trifce Sandev

  11. Impact of stochastic resetting on resource allocation: The case of reallocating geometric Brownian motion

    Article • Physical Review E, March 2025, American Physical Society (APS)

    Prof Dr Trifce Sandev

  12. A resetting particle embedded in a viscoelastic bath

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2025, American Institute of Physics

    Prof Dr Trifce Sandev, Arnab Pal

  13. Mean first-passage time of heterogeneous telegrapher's process under stochastic resetting

    Article • EPL (Europhysics Letters), January 2025, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  14. Generalised Ornstein-Uhlenbeck process: memory effects and resetting

    Article • Journal of Physics A Mathematical and Theoretical, January 2025, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  15. Bernoulli trial under subsystem restarts: Two competing searchers looking for a target

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, January 2025, American Institute of Physics

    Prof Dr Trifce Sandev

  16. Solutions to the Schrödinger Equation: Nonlocal Terms and Geometric Constraints

    Article • Mathematics, January 2025, MDPI AG

    Prof Dr Trifce Sandev

  17. Evaluating Time Irreversibility Tests Using Geometric Brownian Motions with Stochastic Resetting

    Article • Symmetry, October 2024, MDPI AG

    Prof Dr Trifce Sandev

  18. Anomalous diffusion of self-propelled particles

    Article • Journal of Physics A Mathematical and Theoretical, August 2024, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  19. Fractional Telegrapher’s Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times

    Article • Entropy, August 2024, MDPI AG

    Prof Dr Trifce Sandev

  20. Fractional heterogeneous telegraph processes: Interplay between heterogeneity, memory, and stochastic resetting

    Article • August 2024, American Physical Society (APS)

    Prof Dr Trifce Sandev

  21. Media Sentiment on Air Pollution: Seasonal Trends in Relation to PM10 Levels

    Article • Sustainability, July 2024, MDPI AG

    Prof Dr Trifce Sandev

  22. Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises

    Article • Journal of Physics A Mathematical and Theoretical, May 2024, Institute of Physics Publishing

    Prof Dr Trifce Sandev

  23. Random Resetting in Search Problems

    Article • January 2024, Springer Science + Business Media

    Prof Dr Trifce Sandev

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

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

    Prof Dr Trifce Sandev

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

    Article • November 2023, American Physical Society (APS)

    Prof Dr Trifce Sandev

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

    Article • Entropy, November 2023, MDPI AG

    Prof Dr Trifce Sandev

  27. A first passage under resetting approach to income dynamics

    Article • Chaos Solitons & Fractals, October 2023, Elsevier

    Prof Dr Trifce Sandev

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

    Article • Mathematics, August 2023, MDPI AG

    Prof Dr Trifce Sandev

  29. Topological Subordination in Quantum Mechanics

    Article • Fractal and Fractional, May 2023, MDPI AG

    Prof Dr Trifce Sandev

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

    Article • May 2023, American Physical Society (APS)

    Prof Dr Trifce Sandev

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

    Article • Entropy, February 2023, MDPI AG

    Prof Dr Trifce Sandev

  32. 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

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

    Article • Fractal and Fractional, November 2022, MDPI AG

    Prof Dr Trifce Sandev

  34. FRONT MATTER

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  35. Mathematical background

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  36. Fox H-function and related functions

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  37. Elements of random walk theory

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  38. CTRW on combs

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  39. Heterogeneous diffusion processes

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  40. Diffusion processes with stochastic resetting

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  41. Random search

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  42. Diffusion on fractal tartan

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  43. Finite-velocity diffusion

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  44. BACK MATTER

    Article • October 2022, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  45. Generalized diffusion and random search processes

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

    Prof Dr Trifce Sandev

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

    Article • Chaos Solitons & Fractals, July 2022, Elsevier

    Prof Dr Trifce Sandev

  47. General approach to stochastic resetting

    Article • June 2022, American Physical Society (APS)

    Prof Dr Trifce Sandev

  48. Asymmetric Lévy Flights Are More Efficient in Random Search

    Article • Fractal and Fractional, May 2022, MDPI AG

    Prof Dr Trifce Sandev

  49. 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

  50. 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

  51. 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

  52. Heterogeneous diffusion with stochastic resetting

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

    Prof Dr Trifce Sandev

  53. 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

  54. Special Functions of Fractional Calculus

    Article • November 2021, World Scientific Pub Co Pte Lt

    Prof Dr Trifce Sandev

  55. 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

  56. 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

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

    Article • July 2021, American Physical Society (APS)

    Prof Dr Trifce Sandev

  58. First encounters on Bethe lattices and Cayley trees

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

    Prof Dr Trifce Sandev

  59. 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

  60. Continuous time random walks under Markovian resetting

    Article • February 2021, American Physical Society (APS)

    Prof Dr Trifce Sandev

  61. 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

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

    Article • Mathematics, January 2021, MDPI AG

    Prof Dr Trifce Sandev

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

    Article • Entropy, December 2020, MDPI AG

    Prof Dr Trifce Sandev

  64. Resetting dynamics in a confining potential

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

    Prof Dr Trifce Sandev

  65. Fractional Diffusion to a Cantor Set in 2D

    Article • Fractal and Fractional, November 2020, MDPI AG

    Prof Dr Trifce Sandev

  66. Hitting times in turbulent diffusion due to multiplicative noise

    Article • October 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

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

    Article • August 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  68. Stochastic resetting on comblike structures

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

    Prof Dr Trifce Sandev

  69. Diffusion—Reaction processes on a backbone structure

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

    Prof Dr Trifce Sandev

  70. 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

  71. Reaction and ultraslow diffusion on comb structures

    Article • April 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

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

    Article • February 2020, American Physical Society (APS)

    Prof Dr Trifce Sandev

  73. 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

  74. Random search on comb

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

    Prof Dr Trifce Sandev

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

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

    Prof Dr Trifce Sandev

  76. 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

  77. 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

  78. Fractional Equations and Models

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  79. Cauchy Type problems: in Fractional equations and models

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  80. Generalized Langevin Equation

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  81. Fractional Generalized Langevin Equation

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  82. Generalized Differential and Integral Operators

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  83. Fractional Wave Equations

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  84. Introduction: Mittag-Leffler and Other Related Functions

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  85. Fractional Diffusion and Fokker-Planck Equations

    Article • January 2019, Springer Science + Business Media

    Prof Dr Trifce Sandev

  86. 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

  87. 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

  88. Finite-velocity diffusion on a comb

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

    Prof Dr Trifce Sandev

  89. 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

  90. 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

  91. Heterogeneous diffusion in comb and fractal grid structures

    Article • Chaos Solitons & Fractals, September 2018, Elsevier

    Prof Dr Trifce Sandev

  92. 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

  93. 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

  94. Generalized Langevin Equation and the Prabhakar Derivative

    Article • Mathematics, November 2017, MDPI AG

    Prof Dr Trifce Sandev

  95. Beyond monofractional kinetics

    Article • Chaos Solitons & Fractals, September 2017, Elsevier

    Prof Dr Trifce Sandev

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

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

    Prof Dr Trifce Sandev

  97. Anomalous diffusion on a fractal mesh

    Article • May 2017, American Physical Society (APS)

    Prof Dr Trifce Sandev

  98. Generalized Langevin equation with tempered memory kernel

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

    Prof Dr Trifce Sandev

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

    Article • Mathematics, September 2016, MDPI AG

    Prof Dr Trifce Sandev

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

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

    Prof Dr Trifce Sandev

  101. 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

  102. Comb Model with Slow and Ultraslow Diffusion

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

    Prof Dr Trifce Sandev

  103. 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

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

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

    Prof Dr Trifce Sandev

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

    Article • Mathematics, April 2015, MDPI AG

    Prof Dr Trifce Sandev

  106. Fractional diffusion on a fractal grid comb

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

    Prof Dr Trifce Sandev

  107. 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

  108. 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

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

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

    Prof Dr Trifce Sandev

  110. 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

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

    Article • Physics Letters A, January 2014, Elsevier

    Prof Dr Trifce Sandev

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

    Article • Physics Letters A, January 2014, Elsevier

    Prof Dr Trifce Sandev

  113. 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

  114. 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

  115. 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

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

    Article • Applied Mathematics and Computation, June 2012, Elsevier

    Prof Dr Trifce Sandev

  117. 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

  118. 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

  119. 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

  120. 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

  121. 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

  122. 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

  123. 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

  124. 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

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

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

    Prof Dr Trifce Sandev