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An Application of Nabla Operator for the Radial Schrödinger Equation
Abstract
The aim of this present study is to obtain the discrete fractional solutions of the radial Schrödinger
equation by applying the nabla discrete fractional calculus (DFC) operator
Keywords
References
- Abdeljawad T, Atici FM, 2012. On the definitions of nabla fractional operators. Abstr. Appl. Anal., 2012: 13p.
- Atici FM, Acar N, 2013. Exponential functions of discrete fractional calculus. Appl. Anal. Discrete Math., 7: 343-353.
- Atici FM, Eloe PW, 2009. Discrete fractional calculus with the nabla operator. Electron. J. Qual. Theory Differ. Equ., 3: 1-12.
- Diaz JB, Osler TJ, 1974. Differences of fractional order. Amer. Math. Soc., 28: 185-202.
- Gray HL, Zhang N, 1988. On a new definition of the fractional difference. Math. Comp., 50: 513-529.
- Inc M, Yilmazer R, 2016. On some particular solutions of the Chebyshev’s equation by means of ∇^α discrete fractional calculus operator. Progr. Fract. Differ. Appl., 2 (2): 123-129.
- Jarad F, Kaymacalan B, Tas K, 2012. A new transform method in nabla discrete fractional calculus. Adv. Difference Equ., 190, doi: 10.1186/1687-1847-2012-190.
- Jonnalagadda JM, 2015. Analysis of nonlinear fractional nabla difference equations. Int. J. Anal. Appl., 7 (1): 79-95.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
September 30, 2017
Submission Date
January 19, 2017
Acceptance Date
June 3, 2017
Published in Issue
Year 2017 Volume: 7 Number: 3
APA
Yılmazer, R. (2017). An Application of Nabla Operator for the Radial Schrödinger Equation. Journal of the Institute of Science and Technology, 7(3), 199-208. https://izlik.org/JA47MG53TE
AMA
1.Yılmazer R. An Application of Nabla Operator for the Radial Schrödinger Equation. J. Inst. Sci. and Tech. 2017;7(3):199-208. https://izlik.org/JA47MG53TE
Chicago
Yılmazer, Reşat. 2017. “An Application of Nabla Operator for the Radial Schrödinger Equation”. Journal of the Institute of Science and Technology 7 (3): 199-208. https://izlik.org/JA47MG53TE.
EndNote
Yılmazer R (September 1, 2017) An Application of Nabla Operator for the Radial Schrödinger Equation. Journal of the Institute of Science and Technology 7 3 199–208.
IEEE
[1]R. Yılmazer, “An Application of Nabla Operator for the Radial Schrödinger Equation”, J. Inst. Sci. and Tech., vol. 7, no. 3, pp. 199–208, Sept. 2017, [Online]. Available: https://izlik.org/JA47MG53TE
ISNAD
Yılmazer, Reşat. “An Application of Nabla Operator for the Radial Schrödinger Equation”. Journal of the Institute of Science and Technology 7/3 (September 1, 2017): 199-208. https://izlik.org/JA47MG53TE.
JAMA
1.Yılmazer R. An Application of Nabla Operator for the Radial Schrödinger Equation. J. Inst. Sci. and Tech. 2017;7:199–208.
MLA
Yılmazer, Reşat. “An Application of Nabla Operator for the Radial Schrödinger Equation”. Journal of the Institute of Science and Technology, vol. 7, no. 3, Sept. 2017, pp. 199-08, https://izlik.org/JA47MG53TE.
Vancouver
1.Reşat Yılmazer. An Application of Nabla Operator for the Radial Schrödinger Equation. J. Inst. Sci. and Tech. [Internet]. 2017 Sep. 1;7(3):199-208. Available from: https://izlik.org/JA47MG53TE