Existence Theory and Stability Analysis to a Class of Hybrid Differential Equations using Confirmable Fractal Fractional Derivative

Abstract

This research work is related to study a class of hybrid differential equations (HDEs) using conformable
fractal-fractional derivative (CFFD). Fixed point theory, in particular Krasnoselskii’s fixed point theorem
is implemented on the said problem to establish the conditions for which there exists at least one solution.
Also, stability results of Ulam-Hyers (U-H) and U-H Rassias types are derived. At the end of the paper, we
added examples for the purpose of justification and strengthen of our derived results.