All Stories

  1. Network exploration by random walks: A large deviation perspective
  2. A CTRW-driven subdiffusive fractional Brownian bridge in the reconstruction of missing experimental data
  3. The implicit regularizing effect of stochastic resetting in deep learning analysis of anomalous diffusion
  4. Heterogeneous Cattaneo–Vernotte equation connection to the noisy voter model
  5. Comb Model in Periodic Potential
  6. Anomalous diffusion and fluctuations in complex systems and networks
  7. Shear-driven finite-velocity diffusion and its generalization
  8. Generalized Diffusion Process with Nonlocal Interactions: Continuous Time Random Walk Model and Stochastic Resetting
  9. Response to an external field of a generalized Langevin equation with stochastic resetting of the memory kernel
  10. From standard to generalized Schrödinger and Klein–Gordon equations: Subordination approach
  11. Fractional telegrapher’s equation with generalized memory kernels: characteristic crossover anomalous dynamics
  12. Shear-driven anomalous diffusion: Memory effects and stochastic resetting
  13. First-passage times for generalized heterogeneous telegrapher's processes
  14. Impact of stochastic resetting on resource allocation: The case of reallocating geometric Brownian motion
  15. A resetting particle embedded in a viscoelastic bath
  16. Mean first-passage time of heterogeneous telegrapher's process under stochastic resetting
  17. Generalised Ornstein-Uhlenbeck process: memory effects and resetting
  18. Bernoulli trial under subsystem restarts: Two competing searchers looking for a target
  19. Solutions to the Schrödinger Equation: Nonlocal Terms and Geometric Constraints
  20. Evaluating Time Irreversibility Tests Using Geometric Brownian Motions with Stochastic Resetting
  21. Anomalous diffusion of self-propelled particles
  22. Fractional Telegrapher’s Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times
  23. Fractional heterogeneous telegraph processes: Interplay between heterogeneity, memory, and stochastic resetting
  24. Media Sentiment on Air Pollution: Seasonal Trends in Relation to PM10 Levels
  25. Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises
  26. Random Resetting in Search Problems
  27. Volterra-Prabhakar function of distributed order and some applications
  28. Bernoulli trial under restarts: A comparative study of resetting transitions
  29. Random Walks on Comb-like Structures under Stochastic Resetting
  30. A first passage under resetting approach to income dynamics
  31. Ornstein–Uhlenbeck Process on Three-Dimensional Comb under Stochastic Resetting
  32. Topological Subordination in Quantum Mechanics
  33. Ornstein-Uhlenbeck process and generalizations: Particle dynamics under comb constraints and stochastic resetting
  34. Random Walks on Networks with Centrality-Based Stochastic Resetting
  35. Stochastic dynamics with multiplicative dichotomic noise: Heterogeneous telegrapher’s equation, anomalous crossovers and resetting
  36. Editorial for Special Issue “Fractional Dynamics: Theory and Applications”
  37. FRONT MATTER
  38. Mathematical background
  39. Fox H-function and related functions
  40. Elements of random walk theory
  41. CTRW on combs
  42. Heterogeneous diffusion processes
  43. Diffusion processes with stochastic resetting
  44. Random search
  45. Diffusion on fractal tartan
  46. Finite-velocity diffusion
  47. BACK MATTER
  48. Generalized diffusion and random search processes
  49. Non-Markovian SIR epidemic spreading model of COVID-19
  50. General approach to stochastic resetting
  51. Asymmetric Lévy Flights Are More Efficient in Random Search
  52. Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity
  53. Autocorrelation functions and ergodicity in diffusion with stochastic resetting
  54. Tuning of the Dielectric Relaxation and Complex Susceptibility in a System of Polar Molecules: A Generalised Model Based on Rotational Diffusion with Resetting
  55. Heterogeneous diffusion with stochastic resetting
  56. From continuous-time random walks to the fractional Jeffreys equation: Solution and properties
  57. Special Functions of Fractional Calculus
  58. Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers: I. Retarding case
  59. Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting
  60. Geometric Brownian motion under stochastic resetting: A stationary yet nonergodic process
  61. First encounters on Bethe lattices and Cayley trees
  62. Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials
  63. Continuous time random walks under Markovian resetting
  64. Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation
  65. Diffusion–Advection Equations on a Comb: Resetting and Random Search
  66. Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing
  67. Resetting dynamics in a confining potential
  68. Fractional Diffusion to a Cantor Set in 2D
  69. Hitting times in turbulent diffusion due to multiplicative noise
  70. Generalized Cattaneo (telegrapher's) equations in modeling anomalous diffusion phenomena
  71. Stochastic resetting on comblike structures
  72. Diffusion—Reaction processes on a backbone structure
  73. Anomalous diffusion and random search in xyz-comb: exact results
  74. Reaction and ultraslow diffusion on comb structures
  75. Quenched and annealed disorder mechanisms in comb models with fractional operators
  76. Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation
  77. Random search on comb
  78. Reliability of Poisson–Nernst–Planck Anomalous Models for Impedance Spectroscopy
  79. Solutions for a fractional diffusion equation in heterogeneous media
  80. The time-dependent Schrödinger equation in three dimensions under geometric constraints
  81. Fractional Equations and Models
  82. Cauchy Type problems: in Fractional equations and models
  83. Generalized Langevin Equation
  84. Fractional Generalized Langevin Equation
  85. Generalized Differential and Integral Operators
  86. Fractional Wave Equations
  87. Introduction: Mittag-Leffler and Other Related Functions
  88. Fractional Diffusion and Fokker-Planck Equations
  89. Constrained quantum motion in δ-potential and application of a generalized integral operator
  90. Generalized diffusion-wave equation with memory kernel
  91. Finite-velocity diffusion on a comb
  92. Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
  93. Models for characterizing the transition among anomalous diffusions with different diffusion exponents
  94. Heterogeneous diffusion in comb and fractal grid structures
  95. From continuous time random walks to the generalized diffusion equation
  96. Generalized time-dependent Schrödinger equation in two dimensions under constraints
  97. Generalized Langevin Equation and the Prabhakar Derivative
  98. Beyond monofractional kinetics
  99. Distributed-order wave equations with composite time fractional derivative
  100. Anomalous diffusion on a fractal mesh
  101. Generalized Langevin equation with tempered memory kernel
  102. Effective Potential from the Generalized Time-Dependent Schrödinger Equation
  103. Generalized distributed order diffusion equations with composite time fractional derivative
  104. Lévy processes on a generalized fractal comb
  105. Comb Model with Slow and Ultraslow Diffusion
  106. Lévy Transport in Slab Geometry of Inhomogeneous Media
  107. Distributed-order diffusion equations and multifractality: Models and solutions
  108. Analytical Solution of Generalized Space-Time Fractional Cable Equation
  109. Fractional diffusion on a fractal grid comb
  110. Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel
  111. Space-Time Fractional Schrödinger Equation With Composite Time Fractional Derivative
  112. Time-dependent Schrödinger-like equation with nonlocal term
  113. Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
  114. Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions
  115. Langevin equation for a free particle driven by power law type of noises
  116. Exact solutions for fractional diffusion equation in a bounded domain with different boundary conditions
  117. Axially symmetrical molecules in electric and magnetic fields: energy spectrum and selection rules
  118. Velocity and displacement correlation functions for fractional generalized Langevin equations
  119. Fractional wave equation with a frictional memory kernel of Mittag-Leffler type
  120. Generalized space–time fractional diffusion equation with composite fractional time derivative
  121. Generalized Langevin equation with a three parameter Mittag-Leffler noise
  122. Effects of a fractional friction with power-law memory kernel on string vibrations
  123. Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
  124. Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise
  125. Delayed feedback control of fractional-order chaotic systems
  126. Splitting of Spectra in Anharmonic Oscillators Described by Kratzer Potential Function
  127. The general time fractional wave equation for a vibrating string
  128. Thermoelectric mechanism of electromagnetic-acoustic transformation in organic conductors