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Wang, Jinrong; Zhou, Yong

Existence and controllability results for fractional semilinear differential inclusions. (English) Zbl 1231.34108

Nonlinear Anal., Real World Appl. 12, No. 6, 3642-3653 (2011).
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.

Cited in 112 Documents

MSC:

34G25 Evolution inclusions
35R11 Fractional partial differential equations
34A08 Fractional ordinary differential equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence

Keywords:

fractional semilinear differential inclusions; existence; controllability; bohnenblust; Karlin’s fixed point theorem
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\textit{J. Wang} and \textit{Y. Zhou}, Nonlinear Anal., Real World Appl. 12, No. 6, 3642--3653 (2011; Zbl 1231.34108)
Full Text: DOI

References:

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