Journal
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
Volume 24, Issue 1, Pages 101-128Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10883-016-9348-1
Keywords
Approximate controllability; Fixed point theorem; Caputo derivative; Stochastic integro-differential equation; Hilbert space; Poisson jumps; Resolvent operator
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Funding
- IPDF, Indian Institute of Technology Guwahati
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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.
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