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Volume 11
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10.3390/math11061444
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Article

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

by
Ahmed Salem
1,*,
Hunida Malaikah
1 and
Eid Sayed Kamel
2,3
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
*
Author to whom correspondence should be addressed.
Mathematics 2023, 11(6), 1444; https://doi.org/10.3390/math11061444
Submission received: 26 November 2022 / Revised: 5 March 2023 / Accepted: 14 March 2023 / Published: 16 March 2023
(This article belongs to the Special Issue Novel Approaches in Fuzzy Sets and Metric Spaces)
Versions Notes

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.
Keywords: infinite system; measure of noncompactness; fixed point theorem; Sturm–Liouville operator; sequence space infinite system; measure of noncompactness; fixed point theorem; Sturm–Liouville operator; sequence space

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MDPI and ACS Style

Salem, A.; Malaikah, H.; Kamel, E.S. An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space. Mathematics 2023, 11, 1444. https://doi.org/10.3390/math11061444

AMA Style

Salem A, Malaikah H, Kamel ES. An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space. Mathematics. 2023; 11(6):1444. https://doi.org/10.3390/math11061444

Chicago/Turabian Style

Salem, Ahmed, Hunida Malaikah, and Eid Sayed Kamel. 2023. "An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space" Mathematics 11, no. 6: 1444. https://doi.org/10.3390/math11061444

APA Style

Salem, A., Malaikah, H., & Kamel, E. S. (2023). An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space. Mathematics, 11(6), 1444. https://doi.org/10.3390/math11061444

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