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

N. Bouteraa

The Bulletin of Irkutsk State University. Series Mathematics, Tome 41 (2022), pp. 107-120

Résumé

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.

Détail

Keywords: stochastic fractional partial differental equation, fractional derivative, mild solution, stability.

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