Successive iteration and positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation

DOI10.1007/s12190-012-0622-4zbMath1296.39003OpenAlexW1975493866MaRDI QIDQ2511347

Liu Yang, Zhenguo Luo, Haibo Chen, Liping Luo

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-012-0622-4

zbMATH Keywords

positive solutionsuccessive iterationfractional \(q\)-difference equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) General theory of difference equations (39A05) Fractional ordinary differential equations (34A08)

Related Items

Positive solutions for singular coupled integral boundary value problems of nonlinear higher-order fractional \(q\)-difference equations ⋮ Monotone iterative method for nonlinear fractional \(q\)-difference equations with integral boundary conditions ⋮ Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation ⋮ Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions ⋮ Monotone iterative schemes for positive solutions of a fractional \(q\)-difference equation with integral boundary conditions on the half-line ⋮ Existence of extremal solutions for a nonlinear fractional \(q\)-difference system ⋮ Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem ⋮ Boundary value problems for fractional \(q\)-difference equations with nonlocal conditions ⋮ Existence of solutions for nonlinear fractional \(q\)-difference equations with Riemann-Liouville type \(q\)-derivatives

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