A coupled system involving nonlinear fractional \(q\)-difference stationary Schrödinger equation

DOI10.1007/S12190-021-01664-0OpenAlexW3213510540MaRDI QIDQ2089264

Zhongyun Qin, Shurong Sun

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1007/s12190-021-01664-0

zbMATH Keywords

Schrödinger equationboundary value problemfractional \(q\)-difference equationmixed derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Difference equations, scaling ((q)-differences) (39A13) Boundary value problems for difference equations (39A27)

Cites Work

• Unnamed Item
• Boundary value problems of fractional \(q\)-difference Schrödinger equations
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• Numerical solution of the one-dimensional time-independent Schrödinger's equation by recursive evaluation of derivatives
• Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
• Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations

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