Eur. Phys. J. Special Topics 225, 83-96 (2016)
https://doi.org/10.1140/epjst/e2016-02613-0

Regular Article

Fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps

Department of Mathematics, The Gandhigram Rural Institute, Deemed University Gandhigram, 624 302 Dindigul, Tamil Nadu, India

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Received: 31 July 2015
Revised: 11 January 2016
Published online: 29 February 2016

Abstract

In this paper, we study the controllability results for nonlinear fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps in finite dimensional space. New set of sufficient conditions are derived based on Schauder's fixed point theorem and the controllability Grammian matrix is defined by Mittag-Leffer matrix function. Finally, a numerical example has been given to validate the efficiency of the proposed theoretical results.