Existence and controllability for non-instantaneous impulsive stochastic integro-differential equations with noncompact semigroups

نویسندگان
Oussama, Melati ID 1
Abdelghani‬, Ouahab ID 2
Abdeldjalil, Slama ID 3

1 Laboratory of Mathematics, Modeling and Applications (LaMMA), University of Adrar, ,Algeria

2 Laboratory of Mathematics. University of Sidi-Bel-Abbes, Algeria

3 Laboratory of Mathematics, Modeling and Applications (LaMMA), University of Adrar, Algeria

doi
10.22075/ijnaa.2023.29065.4055
چکیده

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.

کلیدواژه‌ها
Stochastic integro-differential equations, non-instantaneous impulses, Resolvent operator, Measure of noncompactness, fixed point theory