Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions

DOI10.1186/1687-1847-2014-326zbMath1343.39021OpenAlexW2127387863WikidataQ59324479 ScholiaQ59324479MaRDI QIDQ307370

Xinhui Li, Shurong Sun, Zhenlai Han, Ping Zhao

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-326

zbMATH Keywords

existence of solutionsfixed point theorem in conesfractional \(q\)-difference equationsmixed nonlinear conditions

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (13)

A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions ⋮ Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation ⋮ A fractional \(q\)-difference equation with integral boundary conditions and comparison theorem ⋮ Existence of solutions of boundary value problems for singular fractional \(q\)-difference equations ⋮ Existence of positive solutions for two-point boundary value problems of nonlinear fractional \(q\)-difference equation ⋮ The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions ⋮ Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions ⋮ Existence and uniqueness for a class of iterative fractional differential equations ⋮ Unnamed Item ⋮ Properties of positive solutions for \(m\)-point fractional differential equations on an infinite interval ⋮ Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals ⋮ Unique solutions for fractional \(q\)-difference boundary value problems via a fixed point method ⋮ Positive solutions for a three-point boundary value problem of fractional \(q\)-difference equations

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