Browsing by Author "Bensalem, Abdelhamid"

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Citation - WoS: 4
Citation - Scopus: 6
Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
(Amer inst Mathematical Sciences-aims, 2025) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Bensalem, Abdelhamid
The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
Citation - WoS: 2
Citation - Scopus: 3
Existence and Attractivity Results on Semi-Infinite Intervals for Integrodifferential Equations With Non-Instantaneous Impulsions in Banach Spaces
(Ovidius Univ Press, 2024) Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder's fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.