Some results on fractional semilinear impulsive integro-differential equations

S. Suresh 1 * and G. Thamizhendhi 2

doi:10.26637/MJM0702/0017

Some results on fractional semilinear impulsive integro-differential equations

Authors :

S. Suresh ^{1 *} and G. Thamizhendhi ²

Author Address :

¹ Department of Mathematics, Kongu Arts and Science College, Erode, Tamilnadu, India.
² Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India.

*Corresponding author.

Abstract :

This paper is devoted to study the existence and uniqueness of solution for non-local impulsive fractional integro-differential equations involving the Caputo fractional derivative in a Banach Space. The arguments are based upon contraction mapping principle and Krasnoselskii’s fixed point theorem.

Keywords :

Fractional integro-differential equations, Fixed point methods, Impulsive condition.

DOI :

10.26637/MJM0702/0017

Article Info :

Received : February 02, 2019; Accepted : April 11, 2019.