Research Article

An Application of Nabla Operator for the Radial Schrödinger Equation

Volume: 7 Number: 3 September 30, 2017
EN TR

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

  1. Abdeljawad T, Atici FM, 2012. On the definitions of nabla fractional operators. Abstr. Appl. Anal., 2012: 13p.
  2. Atici FM, Acar N, 2013. Exponential functions of discrete fractional calculus. Appl. Anal. Discrete Math., 7: 343-353.
  3. Atici FM, Eloe PW, 2009. Discrete fractional calculus with the nabla operator. Electron. J. Qual. Theory Differ. Equ., 3: 1-12.
  4. Diaz JB, Osler TJ, 1974. Differences of fractional order. Amer. Math. Soc., 28: 185-202.
  5. Gray HL, Zhang N, 1988. On a new definition of the fractional difference. Math. Comp., 50: 513-529.
  6. 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.
  7. 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.
  8. 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

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