Title of article :
Existence and controllability for non-instantaneous impulsive stochastic integro-differential equations with noncompact semigroups
Author/Authors :
Melati ، Oussama Laboratory of Mathematics, Modeling and Applications (LaMMA) - University of Adrar , Slama ، Abdeldjalil Laboratory of Mathematics, Modeling and Applications (LaMMA) - University of Adrar , Ouahab ، Abdelghani Laboratory of Mathematics - University of Sidi-Bel-Abbes
Abstract :
This paper deals with the existence and exact controllability of a class of non-instantaneous impulsive stochastic integro-differential equations with nonlocal conditions in a Hilbert space under the assumption that the semigroup generated by the linear part is noncompact. A set of sufficient conditions are generated using the stochastic analysis technique, Kuratowskii’s measure of non-compactness, a resolvent operator and a generalized Darbo’s fixed point theorem to obtain existence and controllability results of mild solutions for the considered system. Examples are also given to illustrate the effectiveness of controllability results obtained.
Keywords :
Stochastic integro , differential equations , non , instantaneous impulses , Resolvent operator , Measure of non , compactness , fixed point theory
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications
