On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type

Abstract

In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo's fixed point theorem and Hausdorff's measure of noncompactness method. The stability of the proposed fractional differential equation is also investigated using the Ulam-Hyer technique. In addition, an applied example that supports the theoretical results reached through this study is included.