On fractional neutral integro-differential systems with state-dependent delay via Kuratowski measure of non-compactness in Banach spaces

A. Anuradha1* and M. Mallika Arjunan2

doi:10.26637/MJM0603/0014

On fractional neutral integro-differential systems with state-dependent delay via Kuratowski measure of non-compactness in Banach spaces

Authors :

A. Anuradha^1* and M. Mallika Arjunan²

Author Address :

^1,2Department of Mathematics, C. B. M. College, Kovaipudhur, Coimbatore - 641 042, Tamil Nadu, India.

*Corresponding author.

Abstract :

Our aim in this work is to study the existence of solutions of fractional integro-differential equations with state-dependent delay with the strongly continuous α-order cosine family. The results are obtained by utilizing the Monch’s fixed point theorem and the concept of measure of non-compactness.

Keywords :

Fractional integro-differential equations, state-dependent delay, α-order cosine family, fixed point, measure of non-compactness.

DOI :

10.26637/MJM0603/0014

Article Info :

Received : February 11, 2018; Accepted : April 26, 2018.