The unique iterative positive solution of fractional boundary value problem with q-difference

DOI10.1016/j.aml.2019.106002zbMath1437.65228OpenAlexW2968431014MaRDI QIDQ2338246

Zengqin Zhao, Chenguang Wang, Jinxiu Mao

Publication date: 21 November 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106002

zbMATH Keywords

iterative techniquefractional boundary value problemunique positive solution\(q\)-difference

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Numerical methods for difference equations (65Q10)

Related Items (12)

Existence of positive solutions for the fractional \(q\)-difference boundary value problem ⋮ Finite-time stability of \(q\)-fractional damped difference systems with time delay ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Iterative positive solutions to a coupled Riemann-Liouville fractional \(q\)-difference system with the Caputo fractional \(q\)-derivative boundary conditions ⋮ Unique iterative solution for high-order nonlinear fractional \(q\)-difference equation based on \(\psi-(h,r)\)-concave operators ⋮ Solutions for a singular Hadamard-type fractional differential equation by the spectral construct analysis ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ Monotone iterative schemes for positive solutions of a fractional \(q\)-difference equation with integral boundary conditions on the half-line ⋮ Finite-time stability of solutions for nonlinear \(q\)-fractional difference coupled delay systems ⋮ A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator ⋮ Positive solutions for fractional \((p, q)\)-difference boundary value problems ⋮ THE UNIQUE EXISTENCE OF SOLUTION IN THE q-INTEGRABLE SPACE FOR THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS

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