期刊
MATHEMATICS
卷 9, 期 17, 页码 -出版社
MDPI
DOI: 10.3390/math9172106
关键词
fractional stochastic differential equations; variable order; existence and uniqueness
类别
This paper discusses the existence and uniqueness of solutions to fractional stochastic differential equations with variable order, providing new sufficient conditions for uniqueness.
Fractional stochastic differential equations are still in their infancy. Based on some existing results, the main difficulties here are how to deal with those equations if the fractional order is varying with time and how to confirm the existence of their solutions in this case. This paper is about the existence and uniqueness of solutions to the fractional stochastic differential equations with variable order. We prove the existence by using the Picard iterations and propose new sufficient conditions for the uniqueness.
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