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Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives

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Open access
Authors
Zhang, X.
Liu, L.
Wiwatanapataphee, B.
Wu, Yong Hong
Date
2012
Type
Journal Article

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Zhang, Xinguang and Liu, Lishan and Wiwatanapataphee, Benchawan and Wu, Yonghong. 2012. Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives. Abstract and Applied Analysis. 2012: pp. 512127:1-512127:16.
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Abstract and Applied Analysis
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This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/. Please refer to the licence to obtain terms for any further reuse or distribution of this work.

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Abstract

By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established.