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Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation
Journal article   Open access  Peer reviewed

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

Moustafa El-Shahed and Wafa M. Shammakh
Abstract and applied analysis, Vol.2011(2011), pp.1-20
01/01/2011

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.1155/2011/986575View
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