This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay integrodifferential system are obtained by using fixed point arguments. Examples are provided to illustrate the results.
controllability, fractional delay integrodifferential equation, Laplace transform, Mittag-Leffler function, Caputo fractional derivative
34A08, 93B05