# American Institute of Mathematical Sciences

December  2015, 4(4): 507-524. doi: 10.3934/eect.2015.4.507

## Controllability for fractional evolution inclusions without compactness

 1 School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China 2 Department of Mathematics, Info Institute of Engineering, Kovilpalayam, Coimbatore - 641 107Tamil Nadu, India 3 Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641 020, Tamil Nadu, India

Received  August 2015 Revised  October 2015 Published  November 2015

In this paper, we study the existence and controllability for fractional evolution inclusions in Banach spaces. We use a new approach to obtain the existence of mild solutions and controllability results, avoiding hypotheses of compactness on the semigroup generated by the linear part and any conditions on the multivalued nonlinearity expressed in terms of measures of noncompactness. Finally, two examples are given to illustrate our theoretical results.
Citation: Yong Zhou, V. Vijayakumar, R. Murugesu. Controllability for fractional evolution inclusions without compactness. Evolution Equations & Control Theory, 2015, 4 (4) : 507-524. doi: 10.3934/eect.2015.4.507
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