Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 16, Issue 0

Abstract

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

Authors and Affiliations

Mahmoud Mohammed Mostafa El-Borai, A. Tarek S. A.

Keywords

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  • EP ID EP651865
  • DOI 10.24297/jam.v16i0.8097
  • Views 184
  • Downloads 0

How To Cite

Mahmoud Mohammed Mostafa El-Borai, A. Tarek S. A. (2019). Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation. JOURNAL OF ADVANCES IN MATHEMATICS, 16(0), 8280-8287. https://europub.co.uk/articles/-A-651865