A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations

Abstract

Abstract In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach space. The applicability of our results with the help of a suitable example has also been shown.

Keywords

• Measure of noncompactness (m.n.c.)
• Fixed point Theorem ( F P T $\mathcal{F}\mathsf{P}\mathsf{T}$ )
• Fractional Hybrid Differential Equation ( F H D E $F\mathcal{H}\mathcal{D}E$ )
• Fractional Integral Equation