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384873

Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions

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Last updated: 31 Dec 2024

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Abstract

In this article, we discuss the existence of at least one solution as well as uniqueness for a
nonlinear fractional differential equation with weighted initial data and nonlocal conditions. The
existence of at least one L1 and continuous solution will be proved under the Carathe`odory conditions via a classical fixed point theorem of Schauder. An example is also given to illustrate the efficiency of the main theorems.

Keywords

Nonlinear fractional problem, Riemann–Liouville fractional derivative, Weighted Cauchy problem, Nonlocal condition, Schauder fixed point Theorem

Authors

First Name

F.M.

Last Name

Gaafar

MiddleName

-

Affiliation

Faculty of Science, Damanhour University, Damanhour, Egypt

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Orcid

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-08-11

Publish Date

2014-10-01

Page Start

341

Page End

347

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 341-347.pdf

PDF . 514.9kB

Link

https://joems.journals.ekb.eg/article_384873.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384873

Order

384,873

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

Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions

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Type

Article

Created At

21 Dec 2024