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

Author

Listed:
  • 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
    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.

Suggested Citation

  • Ahmed Salem & Hunida Malaikah & Eid Sayed Kamel, 2023. "An Infinite System of Fractional Sturm–Liouville Operator with Measure of Noncompactness Technique in Banach Space," Mathematics, MDPI, vol. 11(6), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1444-:d:1099183
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    References listed on IDEAS

    as
    1. Ahmed Salem & Kholoud N. Alharbi & Hashim M. Alshehri, 2022. "Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space," Mathematics, MDPI, vol. 10(8), pages 1-17, April.
    2. Ahmed Salem & Rawia Babusail, 2022. "Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type," Mathematics, MDPI, vol. 10(9), pages 1-14, May.
    3. Ahmed Salem & Noorah Mshary & Mohammad Alomari, 2022. "Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-10, November.
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