An investigation of Fractional Mixed Functional Integro-Differential Equations with Impulsive Conditions

In this work, we derived the existence of mild solutions for fractional func-tional mixed integro-differential equations in Banach spaces. Standard fixed point techniques are used to obtained the results. Initially, we first formulate the definition of PC-mild solution and we prove the existence of solutions for the considered fractional system. Finally, we present an example to demonstrate the obtained theoretical results.