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

• Published in: Boundary value problems Vol. 2014; no. 1; pp. 1 - 17
• Main Authors: Henderson, Johnny, Luca, Rodica
• Format: Journal Article
• Language: English
• 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

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.