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23157

EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

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Last updated: 03 Jan 2025

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Abstract

In this paper, we investigate the appropriate conditions for the presence of positive solutions for a singular fractional
di erential equation (SFDE) with fractional integral boundary conditions (FIBCs). Our nonlinear function may has a
singularity in its dependent variable. Our investigation is based on the xed point theorem of Krasnosel'skii on a cone
and via regularization and sequential techniques (RASTs).

DOI

10.21608/joems.2018.3796.1102

Keywords

Fractional di erential problem, positive solution, space singularity, integral boundary conditions, regularization, Sequential technique

Authors

First Name

F.

Last Name

Gaafar

MiddleName

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Affiliation

Faculty of Science, Damanhour University, Damanhour, Egypt E-mail: fatmagaafar2@yahoo.com

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Volume

26

Article Issue

3

Related Issue

4318

Issue Date

2018-07-01

Receive Date

2018-05-10

Publish Date

2018-07-01

Page Start

469

Page End

482

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 26_Issue 3_Pages 469-482.pdf

PDF . 315.8kB

Link

https://joems.journals.ekb.eg/article_23157.html

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https://joems.journals.ekb.eg/service?article_code=23157

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Original Article

Type Code

485

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

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Article

Created At

22 Jan 2023