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Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse

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dc.contributor.author Kasinathan, Ramkumar
dc.contributor.author Kasinathan, Ravikumar
dc.contributor.author Sandrasekaran, Varshini
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-05-30T13:06:40Z
dc.date.available 2024-05-30T13:06:40Z
dc.date.issued 2023
dc.identifier.citation Kasinathan, Ramkumar...et al. "Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse", Journal of Inequalities and Applications, Vol. 2023, No. 1. tr_TR
dc.identifier.issn 1025-5834
dc.identifier.uri http://hdl.handle.net/20.500.12416/8455
dc.description.abstract The theoretical approach of random impulsive stochastic integrodifferential equations (RISIDEs) with finite delay, noncompact semigroups, and resolvent operators in Hilbert space is investigated in this article. Initially, a random impulsive stochastic integrodifferential system is proposed and the existence of a mild solution for the system is established using the Mönch fixed-point theorem and contemplating Hausdorff measures of noncompactness. Then, the stability results including a continuous dependence of solutions on initial conditions, exponential stability, and Hyers–Ulam stability for the aforementioned system are investigated. Finally, an example is proposed to validate the obtained results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13660-023-03023-y tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Hyers–Ulam Stability tr_TR
dc.subject Mean-Square Exponential Stability tr_TR
dc.subject Noncompact Semigroup tr_TR
dc.subject Random Impulse tr_TR
dc.subject Stochastic Differential Equations tr_TR
dc.title Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2023 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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