All Stories

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