Abstract
The article isconcerned the controllability results for higher order fractional damped delay dynamical systems of any different orders of Caputo derivatives. To establish a necessary and sufficient conditions for the controllability criteria of linear fractional damped delay dynamical systems by Grammian matrix. Sufficient conditions for controllability of the corresponding nonlinear damped delay dynamical systems areobtainedusing successive approximation technique. Examples are includedto verify theoretical results.
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