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On the controllability of fractional dynamical systems

Krishnan BalachandranJayakumar Kokila — 2012

International Journal of Applied Mathematics and Computer Science

This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.

Controllability of nonlinear implicit fractional integrodifferential systems

Krishnan BalachandranShanmugam Divya — 2014

International Journal of Applied Mathematics and Computer Science

In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo's fixed point theorem. Examples are included to verify the result.

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