Results 21 to 30 of about 17,486 (265)

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

Axioms, 2016
In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
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Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions

Mathematics, 2022
This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way.
Wael W. Mohammed, Naveed Iqbal, Thongchai Botmart   +2 more
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On a Fractional Master Equation and a Fractional Diffusion Equation [PDF]

Mathematics and Statistics, 2013
In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution is that of Laplace and Fourier transforms. The solutions are obtained in a neat and compact forms in terms of the generalized Mittag -Leffler function and Fox' H-function.
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Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

Fractal and Fractional, 2019
In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
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Linear Boltzmann equation and fractional diffusion

Kinetic & Related Models, 2018
25 pages, no ...
Bardos, Claude, Golse, François, Moyano, Iván   +2 more
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A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations

Mathematical Modelling and Analysis, 2013
In the present study, numerical solutions of the fractional diffusion and fractional diffusion-wave equations where fractional derivatives are considered in the Caputo sense have been obtained by a Galerkin finite element method using quadratic B-spline ...
Alaattin Esen, Yusuf Ucar, Nuri Yagmurlu, Orkun Tasbozan   +3 more
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A new class of travelling wave solutions for local fractional diffusion differential equations

Advances in Difference Equations, 2020
In this paper, we investigate a 3-D diffusion equation within the scope of the local fractional derivative. For this model, we establish local fractional vector operators and a local fractional Laplace operator defined on Cantor-type cylindrical ...
Ziyue Shi, Wei Qi, Jing Fan
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Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications

Fractal and Fractional, 2023
The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Numerical solution of fractional diffusion equation by Chebyshev collocation method and residual power series method

Alexandria Engineering Journal, 2020
In this paper, we propose an efficient Chebyshev collocation scheme to solve diffusion problem including time fractional diffusion equation considering the fractional derivative in the Liouville-Caputo sense. By making use of shifted Chebyshev polynomial
Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge   +2 more
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Simultaneous determination of a source term and diffusion concentration for a multi-term space-time fractional diffusion equation

Mathematical Modelling and Analysis, 2021
An inverse problem of determining a time dependent source term along with diffusion/temperature concentration from a non-local over-specified condition for a space-time fractional diffusion equation is considered.
Salman A. Malik, Asim Ilyas, Arifa Samreen   +2 more
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