Abstract and Applied Analysis

The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations

Yanli Chen and Yongxiang Li

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Abstract

We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem - D 0 + α u ( t ) = f ( t , u ( t ) ) ,     0 < t < 1 ,   u ( 0 ) = u ' ( 0 ) = u ' ( 1 ) = 0 , where 2 < α 3 is a real number, D 0 + α is the Riemann-Liouville fractional derivative of order α , and f is a given continuous function. Our analysis relies on the fixed point index theory in cones.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 681513, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277172

Digital Object Identifier
doi:10.1155/2014/681513

Mathematical Reviews number (MathSciNet)
MR3256254

Zentralblatt MATH identifier
07022870

Citation

Chen, Yanli; Li, Yongxiang. The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations. Abstr. Appl. Anal. 2014 (2014), Article ID 681513, 7 pages. doi:10.1155/2014/681513. https://projecteuclid.org/euclid.aaa/1412277172


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