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

A. Anuradha; M. Mallika Arjunan

doi:10.26637/MJM0603/0014

Abstract

Our aim in this work is to study the existence of solutions of fractional integro-differential equations with statedependent delay with the strongly continuous $\alpha$-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, fixed point, measure of non-compactness., α -order cosine family

Mathematics Subject Classification:

mathematics

Authors Imprint References Funding Related Articles Downloads

A. Anuradha Department of Mathematics, C. B. M. College, Kovaipudhur, Coimbatore - 641 042, Tamil Nadu, India.
M. Mallika Arjunan Department of Mathematics, C. B. M. College, Kovaipudhur, Coimbatore - 641 042, Tamil Nadu, India. https://orcid.org/0000-0002-3358-0780

Pages: 547-555
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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