Existence and Stability of Solutions for a Class of Stochastic Fractional Partial Differential Equation with a Noise

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