NEW EXISTENCE RESULT ON FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS INVOLVES NON-LOCAL CONDITIONS VIA TOPOLOGICAL SEQUENCES

Abstract

This article is related to examine some appropriate conditions for the existenceand uniqueness of solutions to a class of impulsive fractional partial differential equations. First, we provide a formula for the general solution to the considered problem in Banach space that involves a nonlocal condition using the conventional Caputo derivative. Moreover,using fixed point methods, we establish sufficient and precise conditions for at least onesolution. Also, we use topological degree techniques to reevaluate some of the operators for determining the solution's uniqueness and existence to the considered class of fractional impulsive problem with two variable function. For justification, we give an example also.