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Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions

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  • Ahmed Salem
  • Noorah Mshary
  • Mohammad Alomari

Abstract

By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounded by a Newtonian fluid is provided as an application of our results. The exact solution of this problem and approximate solutions are compared.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlamp:1724221
    DOI: 10.1155/2022/1724221
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    Cited by:

    1. 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.
    2. Ahmed Salem & Lamya Almaghamsi, 2023. "Solvability of Sequential Fractional Differential Equation at Resonance," Mathematics, MDPI, vol. 11(4), pages 1-18, February.

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