EXPONENTIAL STABILITY BEHAVIOR OF NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION AND IMPULSIVE EFFECTS

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Title:	EXPONENTIAL STABILITY BEHAVIOR OF NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION AND IMPULSIVE EFFECTS
Authors:	Yong-Ki Ma Arthi G Marshal Anthoni S
Keywords:	Existence Exponential stability Stochastic system Impulsive Fractional Brownian motion
Issue Date:	27-Mar-2018
Publisher:	Advances in Difference Equations, Springer
Abstract:	In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential equations driven by a fractional Brownian motion. We establish some new sufficient conditions that ensure the exponential stability of mild solution in the mean square moment by utilizing an impulsive integral inequality. Also, we provide an example to show the efficiency of the obtained theoretical result
URI:	https://doi.org/10.1186/s13662-018-1562-6 http://localhost:8080/xmlui/handle/123456789/1084
ISSN:	Print:1687-1839 Online:1687-1847
Appears in Collections:	International Journals

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