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Tempered fractional Brownian motion on finite intervals
AbstractDiffusive transport in many complex systems features a crossover between anomalous diffusion at short times and normal diffusion at long...
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Fractal-view analysis of local fractional Fokker–Planck equation occurring in modelling of particle’s Brownian motion
In this paper, the solution and behaviour of local fractional Fokker–Planck equation (LFFPE) is investigated in fractal media. For this purpose, the...
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Fractal Brownian Motion of Colloidal Particles in Plasma
AbstractExperimental data on the motion of a single colloidal particle in a trap in the near-electrode layer of an RF-discharge plasma are analyzed....
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Investigation of Brownian motion in stochastic Schrödinger wave equation using the modified generalized Riccati equation map** method
This work investigates the stochastic nonlinear Schrödinger equation in a more extended form, influenced by multiplicative noise which represents the...
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Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion
We prove a scaling limit result for random walk on certain random planar maps with its natural time parametrization. In particular, we show that for
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Non-Brownian dynamics of biased viscoelastic diffusion in Gaussian random environments
Field-driven particle diffusion in heterogeneous viscoelastic environments is a ubiquitous process in biological systems such as cell cytoplasm. In...
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Fractional Non-linear Quantum Analysis, Probability, Discretization, and Limits
Non-linear quantum equations with a fractional Laplacian arise from limits of models for biophysical systems with self-interactions and long-range...
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Optimal control system of multi-term fractional stochastic inclusion with Clarke’s subdifferential
This article examines the optimal control of multi-term fractional stochastic inclusion with Clarke’s subdifferential driven by mixed fractional...
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Fractional-order reaction–diffusion model to study the dysregulatory impacts of superdiffusion and memory on neuronal calcium and IP3 dynamics
The models for the dynamics of single systems like calcium ([Ca 2+ ]) in a neuron cell are able to provide information about factors affecting the...
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Comprehensive soliton solutions of fractional stochastic Kraenkel–Manna–Merle equations in ferromagnetic materials
The inner characteristics of numerous nonlinear phenomena that arise in real-life problems are stated through nonlinear partial differential...
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Fractional particle and sigma model
We introduce a classical fractional particle model in ℝ n , extending the Newtonian particle concept with the incorporation of the fractional...
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Fractional Models in Biology and Medicine
Fractional models have a long history in areas such as hydrology, heterogeneous media, animal movement and explorations of anomalous diffusion, to...
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Self-Organization of Clusters of Active Brownian Particles in a Colloidal Plasma under the Action of Laser Radiation
AbstractClusters of active Brownian particles in gas-discharge plasma are considered as open systems with energy exchange with the environment. The...
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Numerical Methods for Fractional PDEs
Numerical approaches for the computation of fractional derivatives on the whole real line (also called the fractional Laplacian) are discussed....
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Fractional Wave Models and Their Experimental Applications
A focused summary of one- and two-dimensional models for linear and nonlinear wave propagation in fractional media is given. The basic models, which...
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Fractional Boltzmann and Fokker–Planck Equations
The fractional Boltzmann and Fokker–Planck equations could be derived from the continuous-time random walks (CTRW) model. The usual random walks...
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Entropic stochastic resonance of a fractional confined system driven by bounded noise
In this paper, we studied the entropic stochastic resonance phenomenon of a fractional overdamped linear system which is driven by bounded noise in a...
