Abstract and Applied Analysis

Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation

Moustafa El-Shahed and Wafa M. Shammakh

Full-text: Open access

Abstract

We investigate an m-point boundary value problem for nonlinear fractional differential equations. The associated Green function for the boundary value problem is given at first, and some useful properties of the Green function are obtained. By using the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 986575, 20 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171177

Digital Object Identifier
doi:10.1155/2011/986575

Mathematical Reviews number (MathSciNet)
MR2802825

Zentralblatt MATH identifier
1222.34006

Citation

El-Shahed, Moustafa; Shammakh, Wafa M. Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation. Abstr. Appl. Anal. 2011 (2011), Article ID 986575, 20 pages. doi:10.1155/2011/986575. https://projecteuclid.org/euclid.aaa/1313171177


Export citation