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Zbl 1231.34108
Wang, Jinrong; Zhou, Yong
Existence and controllability results for fractional semilinear differential inclusions. (English)
[J] Nonlinear Anal., Real World Appl. 12, No. 6, 3642-3653 (2011). ISSN 1468-1218

Summary: 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.
MSC 2000:
*34G25 Evolution inclusions
35R11
34A08
35A01

Keywords: fractional semilinear differential inclusions; existence; controllability; bohnenblust; Karlin's fixed point theorem

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