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24322

THE EXISTENCE OF SOLUTIONS FOR A NONLOCAL PROBLEM OF AN IMPLICIT FRACTIONAL-ORDER DIFFERENTIAL EQUATION

Article

Last updated: 22 Jan 2023

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Abstract

In this paper, we discuss existence of at least one integral solution and also uniqueness for an implicit functional
di erential equation of fractional order with Riemann-Liouville fractional derivative. The existence will be demonstrated
by means of Schauder xed point theorem and Banach contraction principle. Some examples are also discussed to illustrate
the main results.

DOI

10.21608/JOEMS.2018.9473

Keywords

Riemann-Liouville fractional derivative, Weighted space, Initial value problem, Existence of solutions

Authors

First Name

Fatma

Last Name

Gaafar

MiddleName

-

Affiliation

Faculty of Science, Damanhour University, Damanhour, Egyp

Email

fatmagaafar2@yahoo.com

City

-

Orcid

0000-0001-9755-6651

Volume

26

Article Issue

1

Related Issue

4436

Issue Date

2018-01-01

Receive Date

2017-08-02

Publish Date

2018-01-01

Page Start

184

Page End

195

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 26_Issue 1_Pages 184-195.pdf

PDF . 350.2kB

Link

https://joems.journals.ekb.eg/article_24322.html

Detail API

https://joems.journals.ekb.eg/service?article_code=24322

Order

16

Type

Original Article

Type Code

485

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

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Article

Created At

22 Jan 2023