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Journal of Applied Mathematics and Computing

Erschienen in:

01.10.2015 | Original Research

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

verfasst von: Xingqiu Zhang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 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 \(u=0\).

Vorheriger Artikel A compact locally one-dimensional method for fractional diffusion-wave equations

Nächster Artikel Discrete dynamics of one dimensional Collatz like integral value transformations

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Titel: Positive solutions for singular higher-order fractional differential equations with nonlocal conditions
verfasst von: Xingqiu Zhang
Publikationsdatum: 01.10.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0824-z

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