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Fractional Langevin Equations with Nonseparated Integral Boundary Conditions

Author

Listed:
  • Khalid Hilal
  • Lahcen Ibnelazyz
  • Karim Guida
  • Said Melliani

Abstract

In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustration of the main work.

Suggested Citation

  • Khalid Hilal & Lahcen Ibnelazyz & Karim Guida & Said Melliani, 2020. "Fractional Langevin Equations with Nonseparated Integral Boundary Conditions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:3173764
    DOI: 10.1155/2020/3173764
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    References listed on IDEAS

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    1. Ahmed Salem & Faris Alzahrani & Lamya Almaghamsi, 2019. "Fractional Langevin Equations with Nonlocal Integral Boundary Conditions," Mathematics, MDPI, vol. 7(5), pages 1-10, May.
    2. Hossein Fazli & HongGuang Sun & Juan J. Nieto, 2020. "Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited," Mathematics, MDPI, vol. 8(5), pages 1-10, May.
    3. Bashir Ahmad & Juan J. Nieto, 2010. "Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-10, December.
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