The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities

We investigate the existence of at least two positive solutions to eigenvalue problems of fractional differential equations with sign changing nonlinearities in more generalized boundary conditions. Our analysis relies on the Avery-Peterson fixed point theorem in a cone. Some examples are given for...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.1068-1080
Main Authors: Jiang, Weihua, Guo, Weiwei, Qiu, Jiqing
Format: Article
Language:English
Subjects:
Boundary conditions
Differential equations
Eigenvalues
Illustrations
Nonlinearity
Power plants
Science
Studies
Theorems
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Summary:We investigate the existence of at least two positive solutions to eigenvalue problems of fractional differential equations with sign changing nonlinearities in more generalized boundary conditions. Our analysis relies on the Avery-Peterson fixed point theorem in a cone. Some examples are given for the illustration of main results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/180672