Existence and controllability results for fractional semilinear differential inclusions |
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| Authors: | JinRong Wang Yong Zhou |
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| Institution: | 1. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, PR China |
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| Abstract: | 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. |
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