Geodesic
Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces
International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 1, pp. 123-133.

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Sufficient conditions for the controllability of nonlinear stochastic fractional boundary control systems are established. The 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 system, pseudoinverse, integrodifferential system
Mots-clés : sterowanie graniczne, układ ułamkowy, układ stochastyczny, macierz pseudoodwrotna 
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Mabel Lizzy, R.; Balachandran, K. Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 1, pp. 123-133. http://geodesic.mathdoc.fr/item/IJAMCS_2018_28_1_a8/

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