Existence, uniqueness and stability of mild solutions for fractional hybrid semilinear equations with boundary conditions

Abstract

In this paper, we study the existence of mild solutions for hybrid fractional semilinear evolution equations with boundary conditions. Additionally, we prove four different types of Mittag-Leffler-Ulam-Hyers stability results for mild solutions. The existence of mild solutions is proved by the Dhage fixed point theorem. Finally, we provide an example to demonstrate our findings.