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2007 Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation
Moustafa El-Shahed
Abstr. Appl. Anal. 2007: 1-8 (2007). DOI: 10.1155/2007/10368

Abstract

We are concerned with the existence and nonexistence of positive solutions for the nonlinear fractional boundary value problem: D 0 + α u ( t ) + λ a ( t )  f ( u ( t ) ) = 0 ,  0 < t < 1 , u ( 0 ) = u ( 0 ) = u ( 1 ) = 0 , where 2 < α < 3 is a real number and D 0 + α is the standard Riemann-Liouville fractional derivative. Our analysis relies on Krasnoselskiis fixed point theorem of cone preserving operators. An example is also given to illustrate the main results.

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Moustafa El-Shahed. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation." Abstr. Appl. Anal. 2007 1 - 8, 2007. https://doi.org/10.1155/2007/10368

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1149.26012
MathSciNet: MR2353784
Digital Object Identifier: 10.1155/2007/10368

Rights: Copyright © 2007 Hindawi

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