Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra

Abstract

In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.

Keywords

• hybrid differential equations
• quadratic differential equation
• dhage hybrid fixed point theorem
• banach algebra