Abstract
AbstractIn this research, we study the existence and uniqueness results for a new class of stochastic fractional differential equations with impulses driven by a standard Brownian motion and an independent fractional Brownian motion with Hurst index $1/2< H<1$1/2<H<1 under a non-Lipschitz condition with the Lipschitz one as a particular case. Our analysis depends on an approximation scheme of Carathéodory type. Some previous results are improved and extended.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference36 articles.
1. Abouagwa, M., Li, J.: Approximation properties of solutions to Itô–Doob stochastic fractional differential equations with non-Lipschitz coefficients. Stoch. Dyn. 19, 1950029 (2019)
2. Abouagwa, M., Li, J.: Stochastic fractional differential equations driven by Lévy noise under Carathéodory conditions. J. Math. Phys. 60, 022701 (2019)
3. Abouagwa, M., Li, J.: G-Neutral stochastic differential equations with variable delay and non-Lipschitz coefficients. Discrete Contin. Dyn. Syst., Ser. B 25, 1583–1606 (2020)
4. Abouagwa, M., Liu, J., Li, J.: Carathéodory approximations and stability of solutions to non-Lipschitz stochastic fractional differential equations of Itô–Doob type. Appl. Math. Comput. 329, 143–153 (2018)
5. Agarwal, P., Deniz, S., Jain, S., Alderremy, A.A., Aly, S.: A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques. Phys. A, Stat. Mech. Appl. (2019). https://doi.org/10.1016/j.physa.2019.122769
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献