Allognissode, F.K, Diop, M.A, Ezzinbi, K, Ogouyandjou, C. (2019) Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior, Random Operators and Stochastic Equations. https://doi.org/10.1515/rose-2019-2009
dc.contributor.author | Allognissode, Fulbert Kuessi | |
dc.contributor.author | Diop, Mamadou Abdoul | |
dc.contributor.author | Ezzinbi, Khalil | |
dc.contributor.author | Ogouyandjou, Carlos | |
dc.date.accessioned | 2022-06-06T15:57:28Z | |
dc.date.available | 2022-06-06T15:57:28Z | |
dc.date.issued | 2019-05-10 | |
dc.description.abstract | This paper deals with the existence and uniqueness of mild solutions to stochastic partial functional integro-differential equations driven by a sub-fractional Brownian motion S[H/Q] (t), with Hurst parameter H∈(1\2,1). By the theory of resolvent operator developed by R. Grimmer (1982) to establish the existence of mild solutions, we give sufficient conditions ensuring the existence, uniqueness and the asymptotic behavior of the mild solutions. An example is provided to illustrate the theory. | en_US |
dc.description.sponsorship | The authors are supported by CEA-MITIC (Gaston Berger University (UGB), UFR Sciences Appliquées et de Technologie, Saint-Louis, Sénégal, CEA-SMA (Université d’Abomey-Calavi (UAC), Institut de Mathématiques et de Sciences Physiques, Porto Novo, Benin) and Réseau EDP Modélisation et Contrôle. World Bank. | en_US |
dc.identifier.citation | Allognissode, F.K., Diop, M.A., Ezzinbi, K., Ogouyandjou, C. (2019) Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior | en_US |
dc.identifier.uri | http://hdl.handle.net/123456789/1460 | |
dc.language.iso | en | en_US |
dc.publisher | De Gruyter | en_US |
dc.relation.ispartofseries | https://doi.org/10.1515/rose-2019-2009;5 | |
dc.subject | Existence and uniqueness | en_US |
dc.subject | stochastic delay evolution equations | en_US |
dc.subject | exponential decay in mean square | en_US |
dc.subject | Resolvent operators | en_US |
dc.subject | Wiener process | en_US |
dc.subject | mild solutions | en_US |
dc.subject | mild solutions | en_US |
dc.title | Allognissode, F.K, Diop, M.A, Ezzinbi, K, Ogouyandjou, C. (2019) Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior, Random Operators and Stochastic Equations. https://doi.org/10.1515/rose-2019-2009 | en_US |
dc.type | Article | en_US |
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