Solutions of the radial component of the fractional Schrödinger equation using N-fractional calculus operator

DOI10.1007/s12591-016-0308-8zbMath1441.34005OpenAlexW2463935136WikidataQ115376463 ScholiaQ115376463MaRDI QIDQ2172966

Resat Yilmazer, Okkes Ozturk

Publication date: 22 April 2020

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-016-0308-8

zbMATH Keywords

ordinary differential equationfractional calculusfractional Schrödinger equationgeneralized Leibniz ruleN-fractional calculus operator \(N^{\eta}\) methodradial component of the fractional Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Fractional ordinary differential equations (34A08)

Related Items (3)

Solutions in the discrete fractional forms of two differential equations with singular points ⋮ Solutions in the discrete fractional forms of two differential equations with singular points ⋮ Solutions of the radial Schrödinger equation in hypergeometric and discrete fractional forms

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