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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

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, 2022. "Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four‐Point and Strip Conditions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1724221
    DOI: 10.1155/2022/1724221
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    References listed on IDEAS

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    1. J. Alberto Conejero & Jonathan Franceschi & Enric Picó-Marco, 2022. "Fractional vs. Ordinary Control Systems: What Does the Fractional Derivative Provide?," Mathematics, MDPI, vol. 10(15), pages 1-18, August.
    2. Fazli, Hossein & Nieto, Juan J., 2018. "Fractional Langevin equation with anti-periodic boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 332-337.
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