Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions

Stochastics(2023)

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摘要
This manuscript addresses the existence and exponential stability of impulsive fractional neutral stochastic integrodifferential equations (IFNSIDEs) driven by Poisson jump and fractional Brownian motion (fBm) with nonlocal conditions via the Winch fixed point theorem. The sufficient conditions for stability results are derived based on the pth moment exponential stable with the help of new impulsive integral inequality. Finally, a numerical example is presented to illustrate the efficiency of the theoretical results with different Hurst index H circumflex expressionccent in ( (1)/(2 ), 1).
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关键词
Exponential stability,fractional Brownian motion,impulsive fractional integro-differential equations,mild solution,Monch fixed point theorem,nonlocal conditions
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