Controllability of a Class of Nonlinear Fractional Composite Dynamical Systems of Order 1< α ≤ 2

Abstract

In this paper, controllability of nonlinear fractional composite dynamical systems of order in finite-dimensional spaces is investigated. Solution represents of linear and nonlinear fractional composite dynamical systems are defined. The method used in this paper is Mittag-Leffler matrix function and iterative technique. An example is provided to illustrate effectiveness of the main result.