Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations with mixed-type boundary value conditions

DOI10.15388/NA.2019.1.5zbMath1421.34007OpenAlexW2906012971MaRDI QIDQ5225879

Li Shan Liu, Fang Wang, Debin Kong, Yong-Hong Wu

Publication date: 29 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2019.1.5

zbMATH Keywords

positive solutionfractional differential equationsunique positive solutionmixed-type boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (11)

Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann-Stieltjes integral boundary value conditions ⋮ Multiple positive solutions for singular higher-order semipositone fractional differential equations with p-Laplacian ⋮ Iterative analysis of the unique positive solution for a class of singular nonlinear boundary value problems involving two types of fractional derivatives with \(p\)-Laplacian operator ⋮ Boundary value problems of nonlinear mixed-type fractional differential equations ⋮ Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives ⋮ Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions ⋮ Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities ⋮ Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval ⋮ UNIQUE EXISTENCE RESULTS AND NUMERICAL SOLUTIONS FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Unique iterative positive solutions for a singular \(p\)-Laplacian fractional differential equation system with infinite-point boundary conditions ⋮ On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay

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