Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 6, Pages 3642-3653Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.06.021
Keywords
Fractional semilinear differential inclusions; Existence; Controllability; Bohnenblust-Karlin's fixed point theorem
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Funding
- National Natural Science Foundation of China [10971173, 11026102]
- Ministry of Education [211169]
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In this paper, we prove the existence and controllability results for fractional semilinear differential inclusions involving the Caputo derivative in Banach spaces. The results are obtained by using fractional calculation, operator semigroups and Bohnenblust-Karlin's fixed point theorem. At last, an example is given to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.
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