Hadamard Itô-Doob Stochastic Fractional Order Systems

نویسندگان

چکیده

In this paper, we study the existence and uniqueness of Hadamard Itô-Doob Stochastic Fractional Order Systems (HIDSFOS) using Picard iteration method. Different from previous works, our paper presents a new theory fractional integral. We have proved convergence solution averaged HIDSFOS to that standard in sense mean square also probability. Some examples are given at end illustrate theoretical results.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S

سال: 2023

ISSN: ['1937-1632', '1937-1179']

DOI: https://doi.org/10.3934/dcdss.2022184