All Stories

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