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383704

Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

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Last updated: 31 Dec 2024

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Abstract

This paper is devoted to study the existence of at least one continuous mild solution to
semilinear fractional differential inclusion with deviated-advanced nonlocal conditions.
We develop the results obtained, by exchanging the deviated-advanced nonlocal
condition to an integral form. Our results will be accomplished by using the nonlinear
Leray-Schauder's alternative fixed point theorem. The main results are well illustrated
with the aid of an example.

DOI

10.1186/s42787-019-0048-3

Keywords

Caputo derivative, Differential inclusion, Nonlocal conditions, Deviated-advanced nonlocal condition, Schauder’s fixed point theorem

Authors

First Name

Mohamed

Last Name

E. Herzallah

MiddleName

A.

Affiliation

Faculty of Science, Zagazig University, Zagazig, Egypt

Email

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Orcid

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First Name

Ashraf

Last Name

Radwan

MiddleName

H. A.

Affiliation

Faculty of Science, Zagazig University, Zagazig, Egypt

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-03

Publish Date

2019-12-01

Page Start

1

Page End

15

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-15.pdf

PDF . 468.2kB

Link

https://joems.journals.ekb.eg/article_383704.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383704

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383,704

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

Details

Type

Article

Created At

21 Dec 2024