Volume 4, Issue 1
Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients

Chengyun Long & Jingli Xie

J. Nonl. Mod. Anal., 4 (2022), pp. 80-91.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • AMS Subject Headings

4C29, 34F05, 60H10

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COPYRIGHT: © Global Science Press

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@Article{JNMA-4-80, author = {Long , Chengyun and Xie , Jingli}, title = {Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.80}, url = {http://global-sci.org/intro/article_detail/jnma/20694.html} }
TY - JOUR T1 - Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients AU - Long , Chengyun AU - Xie , Jingli JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 80 EP - 91 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.80 UR - https://global-sci.org/intro/article_detail/jnma/20694.html KW - Existence and uniqueness, Stochastic fractional differential equations, Time-varying delays, Non-Lipschitz coefficients. AB -

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.

Long , Chengyun and Xie , Jingli. (2022). Existence and Uniqueness of Solutions to Time-Delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients. Journal of Nonlinear Modeling and Analysis. 4 (1). 80-91. doi:10.12150/jnma.2022.80
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