An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space-Reference-Cited by-同舟云学术

An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space

Published:2023-03-16 Issue:6 Volume:11 Page:1444
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Salem Ahmed¹^ORCID,Malaikah Hunida¹,Kamel Eid Sayed²³

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka 72388, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Fayoum University, P.O. Box 63514, Fayoum 2933110, Egypt

Abstract

In the current contribution, an appropriate quantity connected to the space of all convergent sequences is provided and shown to be a measure of noncompactness in a Banach space. Through the application of the fixed point theorems of Darbo and Meir–Keeler, this amount is used to discuss whether a solution to an infinite system of fractional Sturm–Liouville operators exists. We offer a numerical example as an application of the key finding in the study.

Funder

Institutional Fund Projects

Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1444/pdf

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