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- W4307411065 abstract "In this paper, we study the parameter sensitivity analysis a class of fractional impulsive stochastic differential equation with $$S^{p}$$ -weighted pseudo almost periodic coefficients and infinite delay in Hilbert spaces. Firstly, a more appropriate concept of piecewise $$S^{p}$$ -weighted pseudo almost periodic in distribution for stochastic processes of class $$infty $$ is introduced. The existence of piecewise weighted pseudo almost periodic mild solutions in distribution is presented by using $$alpha $$ -order fractional resolvent operator theory, the stochastic analysis techniques and a fixed-point theorem. Secondly, the sensitivity properties of these infinite delay systems under non-Lipschitz conditions is also obtained. Finally, two examples are given for demonstration." @default.
- W4307411065 created "2022-11-01" @default.
- W4307411065 creator A5061417866 @default.
- W4307411065 date "2022-10-27" @default.
- W4307411065 modified "2023-10-01" @default.
- W4307411065 title "Sensitivity analysis for a fractional stochastic differential equation with $$S^{p}$$-weighted pseudo almost periodic coefficients and infinite delay" @default.
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- W4307411065 doi "https://doi.org/10.1007/s13540-022-00098-0" @default.
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