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381959

Numerical study for systems of fractional differential equations via Laplace transform

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Last updated: 31 Dec 2024

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Abstract

In this paper, we propose a numerical algorithm for solving system of fractional differential equations by using the homotopy analysis transform method. The homotopy analysis transform method is the combined form of the homotopy analysis method and Laplace transform
method. The solutions of our modeled equations are calculated in the form of convergent power
series with easily computable components. The numerical results shows that the approach is easy
to implement and accurate when applied to various fractional differential equations.

DOI

10.1016/j.joems.2014.04.003

Keywords

Systems of fractional differential equations, Laplace transform, Homotopy analysis method, approximate solution

Authors

First Name

Devendra

Last Name

Kumar

MiddleName

-

Affiliation

Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India

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First Name

Sumit

Last Name

Gupta

MiddleName

-

Affiliation

Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India

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City

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Orcid

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First Name

Jagdev

Last Name

Singh

MiddleName

-

Affiliation

Department of Mathematics, Jagan Nath University, Village- Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan, India

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-26

Publish Date

2015-07-01

Page Start

256

Page End

262

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 256-262.pdf

PDF . 1.1MB

Link

https://joems.journals.ekb.eg/article_381959.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381959

Order

381,959

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Numerical study for systems of fractional differential equations via Laplace transform

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Article

Created At

21 Dec 2024