Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients

Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients

Year:    2022

Author:    Chengyun Long, Jingli Xie

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 80–91

Abstract

In this paper, we consider the existence and uniqueness of solutions to time-varying delays stochastic fractional differential equations (SFDEs) with non-Lipschitz coefficients. By using fractional calculus and stochastic analysis, we can obtain the existence result of solutions for stochastic fractional differential equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.80

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 80–91

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Existence and uniqueness Stochastic fractional differential equations Time-varying delays Non-Lipschitz coefficients.

Author Details

Chengyun Long

Jingli Xie