Existence and Stability of Solutions of Fuzzy Fractional Stochastic Differential Equations with Fractional Brownian Motions | Zendy

Elhoussain Arhrrabi | Zendy; M’hamed Elomari | Zendy; Saïd Melliani | Zendy; Lalla Saâdia Chadli | Zendy

Open Access

Existence and Stability of Solutions of Fuzzy Fractional Stochastic Differential Equations with Fractional Brownian Motions

Author(s) -

Elhoussain Arhrrabi,

M’hamed Elomari,

Saïd Melliani,

Lalla Saâdia Chadli

Publication year - 2021

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2021/3948493

Subject(s) - fractional brownian motion , uniqueness , mathematics , stability (learning theory) , exponential stability , stochastic differential equation , brownian motion , mathematical analysis , exponential function , differential equation , physics , nonlinear system , computer science , statistics , quantum mechanics , machine learning

The existence, uniqueness, and stability of solutions to fuzzy fractional stochastic differential equations (FFSDEs) driven by a fractional Brownian motion (fBm) with the Lipschitzian condition are investigated. Finally, we investigate the exponential stability of solutions.

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