Geodesic
Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise
The Bulletin of Irkutsk State University. Series Mathematics, Tome 41 (2022), pp. 107-120

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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. 
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     author = {N. Bouteraa},
     title = {Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise},
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N. Bouteraa. Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise. The Bulletin of Irkutsk State University. Series Mathematics, Tome 41 (2022), pp. 107-120. http://geodesic.mathdoc.fr/item/IIGUM_2022_41_a7/