Existence and multiplicity of positive solutions for a system of fractional boundary value problems

We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions. The nonsingular and singular cases for the nonlinearities are investigated. MSC: 34A08, 45G15.

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Bibliographic Details
Published inBoundary value problems Vol. 2014; no. 1; pp. 1 - 17
Main Authors Henderson, Johnny, Luca, Rodica
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 20.03.2014
Hindawi Limited
BioMed Central Ltd
Subjects
A Tribute to Professor Ivan Kiguradze
Analysis
Approximations and Expansions
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
positive solutions
Riemann-Liouville fractional differential equation
integral boundary conditions
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Summary:We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions. The nonsingular and singular cases for the nonlinearities are investigated. MSC: 34A08, 45G15.
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ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/1687-2770-2014-60