YIN Xiuwei, XIANG Jie. A Class of Stochastic Functional Differential Equations with Conformable Derivative[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(5): 693-705. DOI: 10.3969/j.issn.1001-4268.2022.05.005
Citation:
YIN Xiuwei, XIANG Jie. A Class of Stochastic Functional Differential Equations with Conformable Derivative[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(5): 693-705. DOI: 10.3969/j.issn.1001-4268.2022.05.005
YIN Xiuwei, XIANG Jie. A Class of Stochastic Functional Differential Equations with Conformable Derivative[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(5): 693-705. DOI: 10.3969/j.issn.1001-4268.2022.05.005
Citation:
YIN Xiuwei, XIANG Jie. A Class of Stochastic Functional Differential Equations with Conformable Derivative[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(5): 693-705. DOI: 10.3969/j.issn.1001-4268.2022.05.005
A Class of Stochastic Functional Differential Equations with Conformable Derivative
In this paper, we prove existence and uniqueness for conformable stochastic functional differential equation driven by fractional Brownian motion with Hurst index H>1/2. The stochastic integral is defined as pathwise Riemann-Stieltjes integral.