Numerical approximation of Atangana-Baleanu Caputo derivative for space-time fractional diffusion equations

Numerical approximation of Atangana-Baleanu Caputo derivative for space-time fractional diffusion equations

In this study, we attempt to obtain the approximate solution for the time-space fractional linear and nonlinear diffusion equations. A finite difference approach is given for the solution of both linear and nonlinear fractional order diffusion problems. The Riesz fractional derivative in space is sp...

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Bibliographic Details
Main Authors: Mubashara Wali, Sadia Arshad, Sayed M Eldin, Imran Siddique
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
fractional diffusion equation
numerical approximation
atangana-baleanu caputo derivative
non-singular kernel
stability-convergence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023772?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023772?viewType=HTML

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