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

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 67

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شناسه ملی سند علمی:

JR_IJNAA-14-7_001

تاریخ نمایه سازی: 28 شهریور 1402

چکیده مقاله:

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.

نویسندگان

Melati Oussama

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

Slama Abdeldjalil

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

Ouahab Abdelghani‬

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

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