Controllability result of nonlinear higher order fractional damped dynamical system


Authors

Junpeng Liu - School of Mathematics, Jilin University, 130012, Changchun, P. R. China. Suli Liu - School of Mathematics, Jilin University, 130012, Changchun, P. R. China. Huilai Li - School of Mathematics, Jilin University, 130012, Changchun, P. R. China.


Abstract

In this paper, we investigate the controllability of nonlinear fractional damped dynamical system, which involved fractional Caputo derivatives of any different orders. In the process of proof, we mainly use the Schaefer’s fixed-point theorem and Mittag-Leffler matrix function. At last, we give an example to illustrate our main result.


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ISRP Style

Junpeng Liu, Suli Liu, Huilai Li, Controllability result of nonlinear higher order fractional damped dynamical system, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 325--337

AMA Style

Liu Junpeng, Liu Suli, Li Huilai, Controllability result of nonlinear higher order fractional damped dynamical system. J. Nonlinear Sci. Appl. (2017); 10(1):325--337

Chicago/Turabian Style

Liu, Junpeng, Liu, Suli, Li, Huilai. "Controllability result of nonlinear higher order fractional damped dynamical system." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 325--337


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