The positive properties of Green's function for three point boundary value problems of nonlinear fractional differential equations and its applications

DOI10.1016/j.cnsns.2011.08.032zbMath1248.35224OpenAlexW2061468800MaRDI QIDQ430458

Xiaojie Xu, Xiang-Li Fei

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.08.032

zbMATH Keywords

Schauder fixed-point theoremmultiple positive solutionssingular fractional differential equationthree point boundary value problem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Fractional partial differential equations (35R11)

Related Items (12)

Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations ⋮ Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations ⋮ Iterative solutions for fractional nonlocal boundary value problems involving integral conditions ⋮ Positive solutions to singular fractional differential system with coupled boundary conditions ⋮ The positive properties of Green's function for fractional differential equations and its applications ⋮ Positive solutions for a fractional boundary value problem with changing sign nonlinearity ⋮ Solvability of a class of higher-order fractional two-point boundary value problem ⋮ Positive solution for singular fractional differential equations involving derivatives ⋮ Positive properties of the Green function for two-term fractional differential equations and its application ⋮ POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE ⋮ The Green's function of a class of two-term fractional differential equation boundary value problem and its applications ⋮ Fixed point theorems for sum operator with parameter

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• On the solution set for a class of sequential fractional differential equations
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