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324092

Solution of Nonlinear Fractional Differential ‎Equations containing Caputo Derivative

Article

Last updated: 30 Dec 2024

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Subjects

-

Tags

Applied Mathematics

Abstract

In this paper, Adomian decomposition method (ADM) will apply to solve nonlinear fractional differential equations (FDEs) of Caputo sense. These type of equations is very important in engineering applications. Existence and uniqueness of the solution will prove. The convergence of the series solution and the error analysis will discuss. Some numerical examples will solve to test the validity of the method and the given theorems.

DOI

10.21608/njbs.2023.324092

Keywords

Fractional differential equation, Adomian Method, Existence, Uniqueness, error analysis.‎

Authors

First Name

Eman

Last Name

Ziada

MiddleName

A. A.

Affiliation

Nile higher institute for engineering and technology

Email

eng_emanziada@yahoo.com

City

Domitta

Orcid

0000-0003-2752-7251

Volume

3

Article Issue

1

Related Issue

44182

Issue Date

2023-10-01

Receive Date

2023-10-31

Publish Date

2023-10-01

Page Start

1

Page End

10

Print ISSN

2805-2323

Online ISSN

2805-2331

Article File

NJBS_Volume 3_Issue 1_Pages 1-10.pdf

PDF . 939.8kB

Link

https://njbs.journals.ekb.eg/article_324092.html

Detail API

https://njbs.journals.ekb.eg/service?article_code=324092

Order

1

Type

Original Article

Type Code

2,143

Publication Type

Journal

Publication Title

Nile Journal of Basic Science

Publication Link

https://njbs.journals.ekb.eg/

MainTitle

Solution of Nonlinear Fractional Differential ‎Equations containing Caputo Derivative

Details

Type

Article

Created At

30 Dec 2024