Controllability of fractional neutral stochastic integrodifferential inclusions of order , with fractional Brownian motion
Department of Mathematics, The Gandhigram Rural Institute, Deemed University, 624 302, Gandhigram, Tamil Nadu, India
* e-mail: firstname.lastname@example.org
Accepted: 14 September 2016
Published online: 13 October 2016
This paper investigates the complete and approximate controllability of nonlinear fractional neutral stochastic integrodifferential inclusions of order with fractional Brownian motion (fBm) in finite dimensional space. By using fixed-point theorems, namely the Bohnenblust-Karlin and Covitz-Nadler for the convex and nonconvex cases, a new set of sufficient conditions are formulated which guarantees each type of controllability. The result is established under the assumption that the associated linear stochastic system is completely and approximately controllable. Finally, two examples are presented to illustrate the efficiency of the obtained theoretical results.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016