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Journal of Applied Mathematics and Computing

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01-02-2014 | Original Research

Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter

Authors: Lin Wang, Xingqiu Zhang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2014

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Abstract

In this paper, we study the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter. By using the properties of the Green’s function, u ₀-positive function and the fixed point index theory, we obtain some existence results of positive solution under some conditions concerning the first eigenvalue with respect to the relevant linear operator. The method of this paper is a unified method for establishing the existence of multiple positive solutions for a large number of nonlinear differential equations of arbitrary order with any allowed number of non-local boundary conditions.

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Title: Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter
Authors: Lin Wang
Xingqiu Zhang
Publication date: 01-02-2014
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2014
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-013-0694-9

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