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Journal of Dynamical and Control Systems
Erschienen in: Journal of Dynamical and Control Systems 1/2018

02.02.2017

Approximate Controllability of Impulsive Neutral Stochastic Differential Equations Driven by Poisson Jumps

verfasst von: Alka Chadha, Swaroop Nandan Bora

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 1/2018

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Abstract

This work studies the approximate controllability of a class of impulsive neutral stochastic differential equations with infinite delay and Poisson jumps involving generalized Caputo fractional derivative under the condition that the corresponding linear system is approximately controllable. Utilizing the fixed point theory and sectorial operator theory, the existence of the mild solution of the impulsive neutral stochastic equation is established imposing weaker regularity on nonlinear terms. A set of sufficient conditions establishing controllability results is derived with the help of stochastic analysis and fractional calculus. Finally, an example is provided to illustrate the obtained abstract result.
Vorheriger Artikel Devaney’s and Li-Yorke’s Chaos in Uniform Spaces
Nächster Artikel Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

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Metadaten
Titel
Approximate Controllability of Impulsive Neutral Stochastic Differential Equations Driven by Poisson Jumps
verfasst von
Alka Chadha
Swaroop Nandan Bora
Publikationsdatum
02.02.2017
Verlag
Springer US
Erschienen in
Journal of Dynamical and Control Systems / Ausgabe 1/2018
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-016-9348-1

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