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383504

Spectral Tau method for solving general fractional order differential equations with linear functional argument

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Last updated: 29 Dec 2024

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Abstract

In this paper, a numerical technique for solving new generalized fractional order
differential equations with linear functional argument is presented. The spectral Tau
method is extended to study this problem, where the derivatives are defined in the
Caputo fractional sense. The proposed equation with its functional argument
represents a general form of delay and advanced differential equations with fractional
order derivatives. The obtained results show that the proposed method is very effective
and convenient.

DOI

10.1186/s42787-019-0039-4

Keywords

Spectral Tau method, Fractional order differential equations with functional argument, Caputo fractional derivatives

Authors

First Name

Kamal

Last Name

Raslan

MiddleName

R.

Affiliation

Department of Mathematics, Faculty of Science, Al-azhar University, Cairo, Egypt

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First Name

Mohamed

Last Name

Abd El salam

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Al-azhar University, Cairo, Egypt

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Orcid

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First Name

Khalid

Last Name

Ali

MiddleName

K.

Affiliation

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Orcid

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First Name

Emad

Last Name

Mohamed

MiddleName

M.

Affiliation

-

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-02

Publish Date

2019-12-01

Page Start

1

Page End

16

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-16.pdf

PDF . 983.3kB

Link

https://joems.journals.ekb.eg/article_383504.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383504

Order

383,504

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Spectral Tau method for solving general fractional order differential equations with linear functional argument

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Article

Created At

21 Dec 2024