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

Ahmed Salem (), Hunida Malaikah and Eid Sayed Kamel
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Ahmed Salem: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Hunida Malaikah: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Eid Sayed Kamel: Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka 72388, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-17

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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