SOLUTIONS OF THE RADIAL SCHRODINGER EQUATION IN HYPERGEOMETRIC AND DISCRETE FRACTIONAL FORMS

被引：2

作者：

Ozturk, Okkes ^{[1
]}

Yilmazer, Resat ^{[2
]}

机构：

[1] Bitlis Eren Univ, Bitlis, Turkey

[2] Firat Univ, Elazig, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Fractional calculus; discrete fractional calculus; Leibniz rule; radial Schrodinger equation; DIFFERENCE;

D O I：

10.31801/cfsuasmas.481600

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this present paper is to obtain the hypergeometric and discrete fractional solutions of the radial Schrodinger equation by using the nabla discrete fractional calculus operator.

引用

页码：833 / 839

页数：7

共 25 条

[1] On the asymptotic stability of linear system of fractional-order difference equations
Abu-Saris, Raghib
Al-Mdallal, Qasem
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (03) : 613 - 629
[2] EXPONENTIAL FUNCTIONS OF DISCRETE FRACTIONAL CALCULUS
Acar, Nihan
Atici, Ferhan M.
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2013, 7 (02) : 343 - 353
[3] [Anonymous], 2013, NOVI SAD J MATH
[4] [Anonymous], NONLINEAR STUD
[5] ANALYSIS OF DISCRETE FRACTIONAL OPERATORS
Atici, Ferhan M.
Uyanik, Meltem
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2015, 9 (01) : 139 - 149
[6] Atici FM, 2009, ELECTRON J QUAL THEO
[7] Belgacem F.B.M., 2010, Appl. Math. Sci., V4, P3665
[8] The semiclassical limit of the nonlinear Schrodinger equation in a radial potential
Benci, V
D'Aprile, T
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 184 (01) : 109 - 138
[9] Chaurasia V.B.L., 2012, Math. Eng. Sci. Aerosp, V3, P179
[10] The difference between a class of discrete fractional and integer order boundary value problems
Chen, Yi
Tang, Xianhua
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) : 4057 - 4067

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