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 |
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| container_title | Nonlinear analysis: real world applications |
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| creator | Wang, JinRong Zhou, Yong |
| description | 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. |
| doi_str_mv | 10.1016/j.nonrwa.2011.06.021 |
| format | Article |
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The results are obtained by using fractional calculation, operator semigroups and Bohnenblust–Karlin’s fixed point theorem. 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| source | Elsevier ScienceDirect Journals |
| subjects | Banach space Bohnenblust–Karlin’s fixed point theorem Controllability Derivatives Existence Fractional semilinear differential inclusions Inclusions Mathematical analysis Nonlinearity Operators Theorems |
| title | Existence and controllability results for fractional semilinear differential inclusions |
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