Higher-order fuzzy fractional differential equations: on the existence, uniqueness and Hyers–Ulam–Rassias stability of solutions
نویسندگان
1 Laboratory of Applied Mathematics, Ouargla University, Ouargla, Algeria.
2 Laboratory of Applied Mathematics, Ouargla University, Ouargla, Algeria.
3 Laboratoire de Mathematiques Appliquées et de Modélisation, Université 8 Mai 1945, Guelma, Algerie.
doi
10.22105/jfea.2024.453123.1448چکیده
In this work, we investigate the existence, uniqueness, and different stability types, focusing on Ulam-Hyers stability, of a solution to a nonlinear fuzzy fractional differential equation with Caputo generalized Hukuhara differentiability of order ℘ ∈ (n − 1, n). We establish explicit criteria to guarantee both the existence and uniqueness of the solution, employing the Banach fixed point theorem. Additionally, we present two examples to enhance the illustration of our findings.
