CONTROLLABILITY OF FRACTIONAL ORDER DAMPED DYNAMICAL SYSTEMS WITH DISTRIBUTED DELAYS

Abstract

This paper deals with the controllability criteria for fractional-order damped dynamical systems with distributed delays using Caputo derivatives for both linear and nonlinear cases. Controllability results are established by utilizing the Mittag-Leffler function (MLF) and Schauder’s fixed point theorem. Finally, two numerical examples are provided to show applicability of the proposed results.