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Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations

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Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution… Click to show full abstract

Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution of ς-Caputo stochastic fractional differential equations (CSFDE) using the Banach fixed point technique (BFPT). We analyze the Hyers–Ulam stability of CSFDE using the stochastic calculus techniques. We illustrate our results with three examples.

Keywords: existence uniqueness; results class; differential equations; uniqueness results; class fractional

Journal Title: Symmetry
Year Published: 2022

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