Discrete fractional solutions of radial Schrödinger equation for Makarov potential

DOI10.1142/S0219025717500199zbMath1384.39012OpenAlexW2751079490MaRDI QIDQ4588366

Okkes Ozturk

Publication date: 26 October 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025717500199

zbMATH Keywords

fractional calculusLeibniz rulediscrete fractional calculusnabla discrete fractional calculus operatorradial Schrödinger equation for Makarov potential

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Linear difference operators (47B39) Fractional ordinary differential equations (34A08)

Related Items (1)

A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations

Uses Software

• ma2dfc

Cites Work

• Gronwall's inequality on discrete fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Explicit solutions of singular differential equation by means of fractional calculus operators
• Exact solutions of Schrödinger equation for the Makarov potential
• Sum and Difference Compositions in Discrete Fractional Calculus
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Differences of Fractional Order
• Exponential functions of discrete fractional calculus
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