Existence and Ulam-Hyers Stability Results to Fuzzy Fractional Boundary Value Problems via Hilfer Fractional Derivative
Abstract
This work investigates the existence and Ulam Hyers results of nonlocal fuzzy fractional boundary value problems via Hilfer fractional derivativeof 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.
Published
2024-08-29
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Copyright (c) 2024 Aziz El Ghazouani, M'hamed Elomar, Said Melliani
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