EXISTENCE OF SOLUTION FOR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

In this paper, provided the existence and uniqueness of solution to impulsive semilinear fractional integro-differential equations by using the fractional calculus.

 This work initiates new avenues for obtaining numerical solutions of impulsive fractional integro-differential equation.

The paper is organnized as follows.

        The first section gives the Introduction and recalled the definition of the Caputo fractional derivative and Riemann-Liouville integral in section 2.

     And in section 3 studded the existence of solution to Semilinear Evolution problem.