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Journal of Applied Mathematics and Computing

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01-10-2015 | Original Research

Positive solutions for singular higher-order fractional differential equations with nonlocal conditions

Author: Xingqiu Zhang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2015

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Abstract

In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations with integral boundary conditions are investigated. The nonlinearity permits singularities not only at \(t=0,\,1\) but also at \(u=0\).

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Title: Positive solutions for singular higher-order fractional differential equations with nonlocal conditions
Author: Xingqiu Zhang
Publication date: 01-10-2015
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2015
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0824-z

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