Journal
NONLINEAR ANALYSIS-MODELLING AND CONTROL
Volume 22, Issue 5, Pages 702-718Publisher
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/NA.2017.5.8
Keywords
stochastic fractional differential equation; controllability; neutral systems; Wiener process; Levy process
Funding
- UGC MANF [MANF-2015-17-TAM-50645]
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In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic fractional neutral systems with Wiener and Levy noise are obtained. Banach's fixed point theorem is used to obtain the results. Examples are provided to illustrate the theory.
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