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On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation

  • Abdulwasea Alkhazzan [1] ; Jungang Wang [1] ; Cemil Tunç [3] ; Xiaoli Ding [2] ; Zhanbin Yuan [1] ; Yufeng Nie [1]
    1. [1] Northwestern Polytechnical University

      Northwestern Polytechnical University

      China

    2. [2] Xi'an Polytechnic University

      Xi'an Polytechnic University

      China

    3. [3] Van Yuzuncu Yil University
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
  • Idioma: inglés
  • Enlaces
  • Resumen

    • 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.

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