Existence and Ulam-Hyers Stability Results to Fuzzy Fractional Boundary Value Problems via Hilfer Fractional Derivative

Authors

  • Aziz El Ghazouani Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University
  • M'hamed Elomar Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco
  • Said Melliani Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco

Abstract

This work investigates the existence and Ulam Hyers results of nonlocal fuzzy fractional boundary value problems via Hilfer fractional derivative
of order $ 2 < \alpha < 3$. We show the existence and uniqueness of our problem’s solution by Banach fixed point theorem. Then, utilizing
the fUH stability result. Lastly, we complete our study with an illustrative example.

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Published

2024-08-29

Issue

Vol. 31 No. 3 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 Aziz El Ghazouani, M'hamed Elomar, Said Melliani

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Existence and Ulam-Hyers Stability Results to Fuzzy Fractional Boundary Value Problems via Hilfer Fractional Derivative. (2024). Nonlinear Studies, 31(3), 759-777. https://nonlinearstudies.com/index.php/nonlinear/article/view/3378