Open Access
2014 Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator
Min Jiang, Shouming Zhong
Abstr. Appl. Anal. 2014(SI62): 1-18 (2014). DOI: 10.1155/2014/512426

Abstract

This paper investigates the existence, multiplicity, nonexistence, and uniqueness of positive solutions to a kind of two-point boundary value problem for nonlinear fractional differential equations with p -Laplacian operator. By using fixed point techniques combining with partially ordered structure of Banach space, we establish some criteria for existence and uniqueness of positive solution of fractional differential equations with p -Laplacian operator in terms of different value of parameter. In particular, the dependence of positive solution on the parameter was obtained. Finally, several illustrative examples are given to support the obtained new results. The study of illustrative examples shows that the obtained results are applicable.

Citation

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Min Jiang. Shouming Zhong. "Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator." Abstr. Appl. Anal. 2014 (SI62) 1 - 18, 2014. https://doi.org/10.1155/2014/512426

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022520
MathSciNet: MR3212429
Digital Object Identifier: 10.1155/2014/512426

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI62 • 2014
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