Solutions of the radial Schrödinger equation in hypergeometric and discrete fractional forms

DOI10.31801/cfsuasmas.481600zbMath1487.39005OpenAlexW2900528311MaRDI QIDQ5865857

Resat Yilmazer, Okkes Ozturk

Publication date: 10 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.481600

zbMATH Keywords

fractional calculusLeibniz rulediscrete fractional calculusradial Schrödinger equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Linear difference operators (47B39)

Related Items (1)

Discrete fractional solutions to the effective mass Schrödinger equation by mean of nabla operator

Cites Work

• The semiclassical limit of the nonlinear Schrödinger equation in a radial potential
• Symplectic methods for the numerical solution of the radial Schrödinger equation
• Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem
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• The difference between a class of discrete fractional and integer order boundary value problems
• Explicit solutions of singular differential equation by means of fractional calculus operators
• On the asymptotic stability of linear system of fractional-order difference equations
• A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
• Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov–Uvarov method
• Discrete fractional calculus with the nabla operator
• Convexity for nabla and delta fractional differences
• Analysis of discrete fractional operators
• Exponential functions of discrete fractional calculus
• On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations
• On exact solutions of the Schrodinger equation
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