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Number 1 - March 2018
Volume 28 - 2018
Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces
Rajendran Mabel Lizzy, Krishnan Balachandran
Abstract
equivalent integral equations are derived for both linear and nonlinear systems, and the control function is given in terms of
the pseudoinverse operator. The Banach contraction mapping theorem is used to obtain the result. A controllability result
for nonlinear stochastic fractional integrodifferential systems is also attained. Examples are included to illustrate the theory.
Keywords
boundary controllability, stochastic fractional systems, pseudoinverse, integrodifferential systems