Approximate controllability  of nonlocal impulsive fractional neutral stochastic integro-differential equations   with state-dependent delay in Hilbert spaces

S. Selvarasua, P. Kalamanib and M. Mallika Arjunanc,*

Approximate controllability of nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces

Authors :

S. Selvarasu^a, P. Kalamani^b and M. Mallika Arjunan^c,*

Author Address :

^a,b,cDepartment of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this manuscript, we study the approximate controllability results for nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay conditions in Hilbert spaces under the assumptions that the corresponding linear system is approximately controllable. The results are obtained by using fractional calculus, semigroup theory, stochastic analysis and fixed point theorem. An example is provided to show the application of our result.

Keywords :

Fractional differential equations, approximate controllability, stochastic differential system, nonlocal condition, state-dependent delay, fixed point theorem, semigroup theory.

DOI :

Article Info :

Received : September 10, 2016; Accepted : November 11, 2016.