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Browsing by Author "Nie Yufeng"

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    On Existence and Continuity Results of Solution for Multi-Time Scale Fractional Stochastic Differential Equation
    (Springer Basel Ag, 2023) Alkhazzan, Abdulwasea; Wang Jungang; Tunc, Cemil; Ding Xiaoli; Yuan Zhanbin; Nie Yufeng
    In this paper, we study four critical aspects of a new class of multi-time scale nonlinear fractional stochastic differential equations with fractional integral in the sense of Riemann Liouville. A primary goal of this paper is to investigate the existence, uniqueness, Ulam-Hyers stability, and continuity of the solutions under sufficient assumptions using the Banach contraction theorem. At the end of the paper, a specific example is provided to demonstrate the efficiency and effectiveness of the new results of this paper.