In this paper, we study the existence the solution as well as locally attractivity results for fractional order nonlinear functional integro-differential equation in Banach algebras under mixed lipschitz and caratheodory conditions by using hybrid fixed point theorem. The existence of extremal solutions is also proved under certain monotonicty conditions. The results are illustrated by a concrete example.
Functional integro-differential equation, Banach Algebras, Fixed point theorem, Existence and Extremal solutions, Locally attractivity solutions
