Uniqueness of positive solutions for boundary value problems of singular fractional differential equations

DOI10.1080/17415977.2011.603726zbMath1259.34010OpenAlexW2036790875MaRDI QIDQ3167876

Shurong Sun, Zhenlai Han, Yige Zhao, Mei-Rong Xu

Publication date: 29 October 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.603726

zbMATH Keywords

fixed pointpositive solutionboundary value problemfractional Green's functionsingular fractional differential equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Fractional ordinary differential equations (34A08)

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Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations, Boundary value problem for nonlinear fractional differential equations with delay, Existence and multiplicity of solutions for fractional differential equations with parameters, Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian, Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition, Solvability of boundary value problems of nonlinear fractional differential equations, Positive solutions for singular fractional differential equations with three-point boundary conditions, Boundary value problems for fractional differential equations with nonlocal boundary conditions, Existence of solutions for a class of coupled fractional differential systems with nonlocal boundary conditions, On the existence of a positive solution to a boundary value problem for one nonlinear functional-differential equation of fractional order, Three-point boundary value problems of fractional functional differential equations with delay, Theory of fractional hybrid differential equations with linear perturbations of second type, Existence and uniqueness of solutions for initial value problem of nonlinear fractional differential equations, Positive solutions to fractional boundary value problems with nonlinear boundary conditions, Existence and uniqueness for a class of multi-term fractional differential equations, Existence of solutions for fractional differential equations with integral boundary conditions, Existence and uniqueness results for a class of singular fractional boundary value problems with the \(p\)-Laplacian operator via the upper and lower solutions approach, Applications of Krasnoselskii-Dhage Type Fixed-Point Theorems to Fractional Hybrid Differential Equations, The existence of solutions for boundary value problems of two types fractional perturbation differential equations, On the existence and uniqueness of a positive solution to a boundary value problem for one nonlinear functional differential equation of fractional order

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