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Solvability of a generalized ψ-Riemann–Liouville fractional BVP under nonlocal boundary conditions

Author

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  • Haddouchi, Faouzi
  • Samei, Mohammad Esmael

Abstract

In this paper we consider a class of nonlinear BVP involving fractional derivative in the ψ-Riemann–Liouville sense with nonlocal boundary conditions. By means of some properties of the Green’s function and fixed point theorems due to Banach, Boyd-Wong, and Rus, existence of a unique solution is obtained. We have some examples that prove the theory is true.

Suggested Citation

  • Haddouchi, Faouzi & Samei, Mohammad Esmael, 2024. "Solvability of a generalized ψ-Riemann–Liouville fractional BVP under nonlocal boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 355-377.
    • Handle: RePEc:eee:matcom:v:219:y:2024:i:c:p:355-377
    DOI: 10.1016/j.matcom.2023.12.029
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