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291073

Solutions of Fractional differential equations with some modifications of Adomian Decomposition method

Article

Last updated: 28 Dec 2024

Subjects

-

Tags

Engineering

Abstract

In this paper, we apply the Adomian decomposition method (ADM) for solving Fractional Differential Equations (FDEs) with some modifications to the traditional method. The aim of this paper is to make ADM more efficient, rapid in convergence, and easy to use, so we will discuss two modifications. We use the reliable modification to simplify calculations. For difficulties in symbolic integration, we use a numerical implementation method. All these modifications were applied to the integer-order case, so we would apply it to FDEs. Some numerical results are given from solving these cases and comparing the solution with the ADM method.

DOI

10.21608/dusj.2023.291073

Keywords

fractional differential equations, Adomian decomposition method, reliable modification, numerical implementation

Authors

First Name

Monica

Last Name

Botros

MiddleName

-

Affiliation

Department of Basic science, Faculty of Engineering, Delta University for science and technology, Mansoura. Egypt,

Email

monica.botros@deltauniv.edu.eg

City

-

Orcid

-

First Name

E.

Last Name

Ziada

MiddleName

A.A.

Affiliation

Nile Higher Institute for Engineering and Technology, Mansoura, Egypt

Email

-

City

-

Orcid

-

First Name

I.

Last Name

El-Kalla

MiddleName

L.

Affiliation

Department of Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

-

City

-

Orcid

-

Volume

6

Article Issue

1

Related Issue

40283

Issue Date

2023-04-01

Receive Date

2023-03-16

Publish Date

2023-04-01

Page Start

292

Page End

299

Print ISSN

2636-3046

Online ISSN

2636-3054

Link

https://dusj.journals.ekb.eg/article_291073.html

Detail API

https://dusj.journals.ekb.eg/service?article_code=291073

Order

291,073

Type

Original research papers

Type Code

1,769

Publication Type

Journal

Publication Title

Delta University Scientific Journal

Publication Link

https://dusj.journals.ekb.eg/

MainTitle

Solutions of Fractional differential equations with some modifications of Adomian Decomposition method

Details

Type

Article

Created At

28 Dec 2024