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Bulletin of Irkutsk State University. Series Mathematics, 2022, Volume 41, Pages 107–120
DOI: https://doi.org/10.26516/1997-7670.2022.41.107 (Mi iigum498) 		 
Integro-differential equations and functional analysis

Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise

N. Bouteraaab

a University of Oran1 Ahmed Ben Bella, Algeria
b Oran Graduate School of Economics, Algeria
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DOI: https://doi.org/10.26516/1997-7670.2022.41.107
Abstract: In this work, we will introduce a fractional Duhamel principle and use it to establish the well-boundedness and stability of a mild solution to an original fractional stochastic equation with initial data.
Keywords: stochastic fractional partial differental equation, fractional derivative, mild solution, stability.
Received: 26.01.2022
Revised: 21.05.2022
Accepted: 28.05.2022
Bibliographic databases:
Document Type: Article
UDC: 518.517
MSC: 34A08, 34B10, 34B15
Language: English
Citation: N. Bouteraa, “Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise”, Bulletin of Irkutsk State University. Series Mathematics, 41 (2022), 107–120
Citation in format AMSBIB
\Bibitem{Bou22}
\by N.~Bouteraa
\paper Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2022
\vol 41
\pages 107--120
\mathnet{http://mi.mathnet.ru/iigum498}
\crossref{https://doi.org/10.26516/1997-7670.2022.41.107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4488907}
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