Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation-Reference-Cited by-同舟云学术

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

Published:2011 Issue: Volume:2011 Page:1-20
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

El-Shahed Moustafa¹,Shammakh Wafa M.²

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, College of Education, P.O. Box 3771, Qassim-Unizah 51911, Saudi Arabia

2. Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 30903, Jeddah 21487, Saudi Arabia

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/986575.pdf

Reference21 articles.

1. On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

2. On positive solutions of a nonlocal fractional boundary value problem

3. Boundary value problems for differential equations with fractional order and nonlocal conditions

4. Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

5. Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations

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