Existence and controllability results for fractional semilinear differential inclusions

Existence and controllability results for fractional semilinear differential inclusions

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, a...

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Veröffentlicht in:Nonlinear analysis: real world applications 2011-12, Vol.12 (6), p.3642-3653
Hauptverfasser: Wang, JinRong, Zhou, Yong
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Bohnenblust–Karlin’s fixed point theorem
Controllability
Derivatives
Existence
Fractional semilinear differential inclusions
Inclusions
Mathematical analysis
Nonlinearity
Operators
Theorems
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Zusammenfassung: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.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2011.06.021