Controllability of abstract fractional differential evolution equations with nonlocal conditions


Authors

Haiyong Qin - School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China. Chenghui Zhang - School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China. Tongxing Li - School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China. Ying Chen - School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, P. R. China.


Abstract

In this paper, the controllability of a class of fractional differential evolution equations with nonlocal conditions is investigated. Sufficient conditions which guarantee the controllability of fractional differential evolution equations are obtained. The method used is the contraction mapping principle and Krasnoselskii theorem. A fractional distributed parameter control system is provided to illustrate the applications of our results.


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ISRP Style

Haiyong Qin, Chenghui Zhang, Tongxing Li, Ying Chen, Controllability of abstract fractional differential evolution equations with nonlocal conditions, Journal of Mathematics and Computer Science, 17 (2017), no. 2, 293-300

AMA Style

Qin Haiyong, Zhang Chenghui, Li Tongxing, Chen Ying, Controllability of abstract fractional differential evolution equations with nonlocal conditions. J Math Comput SCI-JM. (2017); 17(2):293-300

Chicago/Turabian Style

Qin, Haiyong, Zhang, Chenghui, Li, Tongxing, Chen, Ying. "Controllability of abstract fractional differential evolution equations with nonlocal conditions." Journal of Mathematics and Computer Science, 17, no. 2 (2017): 293-300


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