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222357

Fractional diffusion equation with double and triple Laplace Adomian decomposition methods

Article

Last updated: 28 Dec 2024

Subjects

-

Tags

Computer Engineering

Abstract

 This paper aims to present an analytical and approximation method to get the solution of the space-time fractional diffusion equation. This suggested method is based on a combination of the double and triple Laplace transforms with the Adomain decomposition method. The presented methodology is tested on illustrative examples and the results show that it is a simple, efficient, and reliable method.

DOI

10.21608/msaeng.2022.222357

Keywords

Double Laplace transform, Triple Laplace transform, Adomain decomposition method, fractional diffusion equation, Mittag-Leffler function

Volume

1

Article Issue

1

Related Issue

31745

Issue Date

2022-03-01

Receive Date

2022-03-01

Publish Date

2022-03-01

Page Start

1

Page End

19

Print ISSN

2812-5339

Online ISSN

2812-4928

Link

https://msaeng.journals.ekb.eg/article_222357.html

Detail API

https://msaeng.journals.ekb.eg/service?article_code=222357

Order

1

Type

Original Article

Type Code

2,183

Publication Type

Journal

Publication Title

MSA Engineering Journal

Publication Link

https://msaeng.journals.ekb.eg/

MainTitle

Fractional diffusion equation with double and triple Laplace Adomian decomposition methods

Details

Type

Article

Created At

23 Jan 2023