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308372

AN APPLICATION OF HOMOTOPY ANALYSIS TRANSFORM METHOD FOR RICCATI DIFFERENTIAL EQUATION OF FRACTIONAL ORDER K. M. SAAD,A. A. AL-SHOMRANI

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Last updated: 29 Dec 2024

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Abstract

We introduce an analytical method, namely the Homotopy Anal ysis Transform Method (HATM), which is a combination of the Homotopy Analysis Method (HAM) and the Laplace Decomposition Method (LDM). A new application of the HATM is presented for the solution of the fractional order Riccati differential equation. The accuracy and efficiency of the proposed method is verified through three examples and comparison with exact solutions.

DOI

10.21608/jfca.2016.308372

Volume

7

Article Issue

1

Related Issue

42474

Issue Date

2016-01-01

Receive Date

2023-07-17

Publish Date

2016-01-01

Page Start

61

Page End

72

Print ISSN

2090-584X

Online ISSN

2090-5858

Article File

JFCA_Volume 7_Issue 1_Pages 61-72.pdf

PDF . 138.1kB

Link

https://jfca.journals.ekb.eg/article_308372.html

Detail API

https://jfca.journals.ekb.eg/service?article_code=308372

Order

308,372

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Regular research papers

Type Code

2,646

Publication Type

Journal

Publication Title

Journal of Fractional Calculus and Applications

Publication Link

https://jfca.journals.ekb.eg/

MainTitle

AN APPLICATION OF HOMOTOPY ANALYSIS TRANSFORM METHOD FOR RICCATI DIFFERENTIAL EQUATION OF FRACTIONAL ORDER K. M. SAAD,A. A. AL-SHOMRANI

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Article

Created At

18 Dec 2024