Approximate controllability of an impulsive retarded fractional stochastic differential equation with deviated argument and infinite delay

  • Sanjukta Das INDIAN INSTITUTE OF TECHNOLOGY, ROORKEE, INDIA
  • D. N. Pandey
  • N. Sukavanam

Abstract

In this paper we prove the approximate controllability of an impulsive fractional stochastic neutral integro-differential equation with deviated argument and infinite delay. The control parameter is also included in the nonlinear term. We use Schauder fixed point theorem and fundamental assumptions on system operators to prove our result. Thereby the need to assume the invertibility of controllability operator is removed. Since its inverse fails to exist in infinite dimensional space if the generated semigroup is compact. Lipschitz continuity of the nonlinear function is also not required. We also give an example to illustrate our result.

Published
2015-02-19
Section
Articles