A generalization of Darbo’s fixed point theorem and its applications to ψ Hilfer fractional hybrid differential equation

Abstract

In the present paper, we develop a new fixed point theorem based on a newly introduced
contraction operator. Our formulation is built upon essential ideas from the measure of noncompactness,
which serve as a foundation for our analysis. By using this framework, we study the existence results for the
solutions to the first order hybrid fractional differential equation involving the ψ-Hilfer fractional derivative.
The applicability of our results, we conclude with an example.