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

S. Selvarasu; P. Kalamani; M. Mallika Arjunan

doi:10.26637/mjm404/006

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

Mathematics Subject Classification:

65C30, 34A08, 34H05 , 26A33

Authors Imprint References Funding Related Articles Downloads

S. Selvarasu Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.
P. Kalamani Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.
M. Mallika Arjunan Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. https://orcid.org/0000-0002-3358-0780

Pages: 571-598
Date Published: 01-10-2016
Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)

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