Volume 9, Issue 1 (5-2023)                   mmr 2023, 9(1): 30-54 | Back to browse issues page

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Ansari A, Derakhshan M. A numerical method for solving a class of distributed order time-fractional diffusion partial differential equations according to Caputo-Prabhakar fractional derivative. mmr 2023; 9 (1) :30-54
URL: http://mmr.khu.ac.ir/article-1-3020-en.html
A numerical method for solving a class of distributed order time-fractional diffusion partial differential equations according to Caputo-Prabhakar fractional derivative
Alireza Ansari * 1, MohammadHossein Derakhshan
1- , alireza_1038@yahoo.com
Abstract:   (1284 Views)
In this paper, a time-fractional diffusion equation of distributed order including the Caputo-Prabhakar fractional derivative is studied. We use a numerical method based on the linear B-spline interpolation and finite difference method to study the solutions of these types of fractional equations. Finally, some numerical examples are presented for the performance and accuracy of the proposed numerical method.
Keywords: Fractional derivative, Distributed order time-fractional diffusion equation, Distributed order, Caputo-Prabhakar, Spline approximation
Full-Text [PDF 1758 kb]   (479 Downloads)    
Type of Study: Research Paper | Subject: Mat
Received: 2019/11/9 | Revised: 2024/01/7 | Accepted: 2021/05/2 | Published: 2023/06/20 | ePublished: 2023/06/20
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