Optical Controls for Stochastic functional integrodifferential equations

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dc.contributor.authorDiop, M.A.
dc.contributor.authorGuindo, P.D.A.
dc.contributor.authorFall, M.
dc.contributor.authorDiakhaby, A.
dc.date.accessioned2022-04-22T14:06:23Z
dc.date.available2022-04-22T14:06:23Z
dc.date.issued2021-07
dc.descriptionIn the last decades stochastic differential equations have attracted considerable attention. These equations have been studied extensively since they are abstract formulations for many problems arising from economics, finance, physics, mechanics, electricity and control engineering, etc. (see [10, 15, 25]). There is much current interest in studying qualitative properties for SPDEs (see, e.g., [1, 2, 5, 26, 27]). In recent years, much attention has been paid to the qualitative properties of mild solutions to various stochastic integrodifferential equations by using the resolvent operator theory for integral equations and the fixed point technique see e.g., [14, 20, 28] and the references therein.en_US
dc.description.abstractThe aim of this work is to investigate a class of stochastic functional integrodifferential equations(SFIDEs) in a Hilbert space. We first study the existence of mild solutions of these equations by means of stochastic analysis theory and theory of resolvent operator in the sense of Grimmer. Further, the existence of optimal pairs for the corresponding Lagrange control systems is investigated. Finally, an example is presented to illustrate our obtained results.en_US
dc.description.sponsorshipWorld Banken_US
dc.identifier.citationM.A. Diop, P.D.A Guindo, M. Fall, A. Diakhaby. (2021). Optical Controls for Stochastic functional integrodifferential equations. pg 241-261. http://math-frac.org/Journals/EJMAA/en_US
dc.identifier.issn2090-729X
dc.identifier.urihttp://hdl.handle.net/123456789/1423
dc.language.isoenen_US
dc.publisherResearch Gateen_US
dc.relation.ispartofserieshttps://www.researchgate.net/publication/350783686;22
dc.subjectEvolution equationsen_US
dc.subjectInfinite Delayen_US
dc.subjectSemigroupen_US
dc.subjectGrimmer resolvent operatoren_US
dc.subjectmild solutionen_US
dc.subjectFixed point theoremen_US
dc.subjectOptimal controlsen_US
dc.titleOptical Controls for Stochastic functional integrodifferential equationsen_US
dc.typeArticleen_US
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