Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation

  • Mahmoud Mohammed Mostafa El-Borai Alexandria University
  • A. Tarek S.A. Alexandria University
Keywords: Stochastic Differential Equations, Fractional Order, Existance and uniqueness theorems, Abstract Differential Equations


In this paper, the existence and uniqueness about the solution for a class of abstract stochastic fractional-order differential equations


where Capture_new2.PNG in and Capture_new31.PNG are given functions, are investigated, where the fractional derivative is described in Caputo sense. The fractional calculus, stochastic analysis techniques and the standard $Picard's$ iteration method are used to obtain the required.

Author Biographies

Mahmoud Mohammed Mostafa El-Borai, Alexandria University

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

A. Tarek S.A., Alexandria University

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt


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How to Cite
El-Borai, M. M., & S.A., A. T. (2019). Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8280-8287. Retrieved from https://cirworld.com/index.php/jam/article/view/8097