Existence of solutions for hybrid differential equation with fractional order

Abstract

In this paper, we study the existence of solutions for the following fractional hybrid differential equations involving Riemann-Liouville differential operators of order . An existence theorem for fractional hybrid differential equations is proved under mixed Lipschitz and Carathéodory conditions and using the Dhage point fixe theorem.

Keywords: Quadratic perturbations;  Riemann-Liouville derivative;  Hybrid differential equations