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Journal of Applied Mathematics and Computing

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01-07-2013 | Original Research

Positive solutions of m-point boundary value problems for a class of nonlinear fractional differential equations

Authors: Lin Wang, Xingqiu Zhang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2013

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Abstract

This paper deals with the existence and multiplicity of positive solutions for a class of nonlinear fractional differential equations with m-point boundary value problems. We obtain some existence results of positive solution by using the properties of the Green’s function, u ₀-bounded function and the fixed point index theory under some conditions concerning the first eigenvalue with respect to the relevant linear operator.

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Title: Positive solutions of m-point boundary value problems for a class of nonlinear fractional differential equations
Authors: Lin Wang
Xingqiu Zhang
Publication date: 01-07-2013
Publisher: Springer-Verlag
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2013
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-012-0626-0

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