Geodesic
Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control
Kybernetika, Tome 53 (2017) no. 1, pp. 161-178
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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.
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.
DOI : 10.14736/kyb-2017-1-0161
Classification : 34A08, 93B05
Keywords: fractional delay integrodifferential equation; Laplace transform; controllability; Mittag–Leffler function; Caputo fractional derivative 
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Joice Nirmala, Rajagopal; Balachandran, Krishnan. Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Kybernetika, Tome 53 (2017) no. 1, pp. 161-178. doi: 10.14736/kyb-2017-1-0161

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