Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay

Authors

  • DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA

Abstract

In this article, we establish the sufficient conditions for the approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces. The results are obtained by using the fixed point theorem for discontinuous multi-valued operators due to Dhage with the resolvent operator. An example is provided to illustrate the main results.

Author Biography

  • , DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA
    ASSISTANT PROFESSOR IN DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA

Published

2013-11-23

Issue

Vol. 20 No. 4 (2013)

Section

Articles

How to Cite

Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay. (2013). Nonlinear Studies, 20(4). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/847