Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative (Q1013001)
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scientific article; zbMATH DE number 5548698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative |
scientific article; zbMATH DE number 5548698 |
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Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative (English)
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28 April 2009
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The authors derive sufficient conditions for the existence of solutions for a class of boundary value problems for fractional inclusions involving the Caputo fractional derivative of order \(\alpha \in (1,2]\) using the method of nonlinear alternative of Leray-Schauder type and a fixed point theorem for contractive multivalued maps due to \textit{H. Covitz} and \textit{S. B. Nadler jun.} [Isr. J. Math. 8, 5--11 (1970; Zbl 0192.59802)].
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Differential inclusion
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Caputo fractional derivative
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fractional integral
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nonlocal condition
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existence
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fixed point
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