Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity
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Open access
Authors
Wang, Yongqing
Liu, Lishan
Wu, Yong Hong
Date
2012Type
Journal Article
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Wang, Yongqing and Liu, Lishan and Wu, Yong Hong. 2012. Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity. Abstract and Applied Analysis. 2012: Article ID 149849.
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Abstract and Applied Analysis
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This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/3.0/
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Abstract
We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of the Krasnoselskii's fixed point theorem in a cone.