Integro-differential equations and functional analysis

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

N. Bouteraa<sup>ab

a</sup> University of Oran1 Ahmed Ben Bella, Algeria
^b Oran Graduate School of Economics, Algeria

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.

UDC: 518.517

MSC: 34A08, 34B10, 34B15

Received: 26.01.2022
Revised: 21.05.2022
Accepted: 28.05.2022

Language: English

DOI: 10.26516/1997-7670.2022.41.107

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