NONLINEAR FRACTIONAL ORDER NEUTRAL-TYPE STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEM WITH ROSENBLATT PROCESS - A CONTROLLABILITY EXPLORATION.

We investigate the controllability analysis of nonlinear fractional order neutral-type stochastic integro-differential system with nonGaussian process. We stress out the stochastic term of our system driven by the uncomplicated non-Gaussian Hermite process known as the Rosenblatt process, which is named after by Murray Rosenblatt who first devised this introduced concept. This process is self-similar with consistent accretion and beside emerged as restriction in the non-central limit theorem, and it exists in the second wiener chaos. The necessary and sufficient conditions for the controllability are verified by employing fixed point techniques. At end, we present illustrative examples to clarify the abstract results. [ABSTRACT FROM AUTHOR]