Boundary value problems of fractional \(q\)-difference Schrödinger equations

DOI10.1016/j.aml.2015.02.013zbMath1322.39001OpenAlexW2061410331MaRDI QIDQ494256

Xinhui Li, Xicheng Li, Zhenlai Han

Publication date: 31 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.013

zbMATH Keywords

positive solutionsboundary value problemsfixed point theorem in conesRiemann-Liouville fractional derivativefractional \(q\)-difference Schrödinger equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (27)

Existence of positive solutions for the fractional \(q\)-difference boundary value problem ⋮ Existence of solutions for \(q\)-fractional differential equations with nonlocal Erdélyi-Kober \(q\)-fractional integral condition ⋮ Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation ⋮ On a nonlinear fractional \((p, q)\)-difference Schrödinger equation ⋮ Finite-time stability of \(q\)-fractional damped difference systems with time delay ⋮ 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 results to positive solutions of fractional BVP with \(q\)-derivatives ⋮ Existence of solutions for a class of the boundary value problem of fractional \(q\)-difference inclusions ⋮ Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel ⋮ Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations ⋮ The iterative positive solution for a system of fractional \(q\)-difference equations with four-point boundary conditions ⋮ Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter ⋮ UNIQUENESS OF SOLUTIONS FOR AN INTEGRAL BOUNDARY VALUE PROBLEM WITH FRACTIONAL Q-DIFFERENCES ⋮ Existence and uniqueness for a class of multi-term fractional differential equations ⋮ The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions ⋮ Monotone iterative schemes for positive solutions of a fractional \(q\)-difference equation with integral boundary conditions on the half-line ⋮ \(q\)-fractional differential equations with uncertainty ⋮ Existence and uniqueness of solutions for fractional \(q\)-difference Schrödinger equations ⋮ Finite-time stability of solutions for nonlinear \(q\)-fractional difference coupled delay systems ⋮ 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 ⋮ A coupled system involving nonlinear fractional \(q\)-difference stationary Schrödinger equation ⋮ SUCCESSIVE ITERATIONS FOR UNIQUE POSITIVE SOLUTION OF A NONLINEAR FRACTIONAL Q-INTEGRAL BOUNDARY VALUE PROBLEM ⋮ Boundary value problems of fractional \(q\)-difference equations on the half-line ⋮ Existence and uniqueness of solutions for mixed fractional \(q\)-difference boundary value problems ⋮ Eigenvalue problems of fractional \(q\)-difference equations with generalized \(p\)-Laplacian

Cites Work

• Unnamed Item
• Eigenvalue intervals for a class of fractional boundary value problem
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• On the solution of the fractional nonlinear Schrödinger equation
• Existence of positive solutions of nonlinear fractional \(q\)-difference equation with parameter
• A Comprehensive Treatment of q-Calculus

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