MMN-5264
Existence and stability of mild solutions for hybrid fractional semi-linear evolution equations
Fatima Ezzahra Bourhim; Chaima El Maghraoui; Ali El Mfadel; M'hamed Elomari;Abstract
This manuscript investigates the existence and stability of mild solutions for initial value problems associated with hybrid fractional semi-linear evolution equations. The existence of mild solutions is established using Dhage's fixed point theorem. Furthermore, we explore four distinct types of Mittag-Leffler-Ulam-Hyers stability for these solutions, providing a comprehensive analysis of their behavior under perturbations. To illustrate the applicability of our theoretical findings, we present a concrete example. These results contribute to the development of fractional evolution equations and their stability theory, with potential implications for various applied mathematical and engineering problems.
Vol. 27 (2026), No. 1, pp. 111-126