Existence and controllability for non-instantaneous impulsive stochastic integro-differential equations with noncompact semigroups | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 14، شماره 7، مهر 2023، صفحه 1-19 اصل مقاله (472.48 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29065.4055 | ||
| نویسندگان | ||
| Melati Oussama1؛ Slama Abdeldjalil* 2؛ Ouahab Abdelghani3 | ||
| 1Laboratory of Mathematics, Modeling and Applications (LaMMA), University of Adrar, ,Algeria | ||
| 2Laboratory of Mathematics, Modeling and Applications (LaMMA), University of Adrar, Algeria | ||
| 3Laboratory of Mathematics. University of Sidi-Bel-Abbes, Algeria | ||
| 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 | ||
| مراجع | ||
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