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

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

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 wit...

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Veröffentlicht in:Journal of applied mathematics & computing 2015-10, Vol.49 (1-2), p.69-89
1. Verfasser: Zhang, Xingqiu
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Boundary value problems
Computational Mathematics and Numerical Analysis
Differential equations
Eigenvalues
Integrals
Linear operators
Mathematical analysis
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Nonlinearity
Original Research
Singularities
Studies
Texts
Theory of Computation
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Beschreibung
Zusammenfassung: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 .
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-014-0824-z