Research Article

An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation

Volume: 5 December 30, 2016
EN

An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation

Abstract

In this work, we study on the improved Bernoulli sub-equation function method. We apply this method to the nonlinear time-fractional Burgers equation. We obtain new analytical solutions to this model for values of n, m and M. Numerical simulation were depicted for di erent values of alpha.

Keywords

References

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  2. Atangana, A., Baleanu, D., New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model, Thermal Science, 1(2016), 763–769. 2.1, 2.2, 2.4
  3. Atangana, A., Koca, I., Chaos in a simple nonlinear system with Atangana- Baleanu derivatives with fractionalorder, Chaos, Solitons and Fractals, 1(2016), 447–454. 2.3
  4. Baskonus, H. M., Bulut, H., An e ective scheme for solving some nonlinear partial di erential equation arising in nonlinear physics, Open Physics, 13(2015), 280–289. 3
  5. Baskonus, H. M., Bulut, H., On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method, Waves in Random and Complex Media, 25(2015), 720–728. 3
  6. Baskonus, H. M., Bulut, H., Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics, Waves in Random and Complex Media, 26(2016), 201–208. 3
  7. Baskonus, H. M., Bulut, H., Regarding on the prototype solutions for the nonlinear fractional-order biological population model, AIP Conference Proceedings 1738(2016), 290004. 3
  8. Baskonus, H. M., Koc¸, D. A., Bulut, H., Dark and new travelling wave solutions to the nonlinear evolution equation, Optic-International Journal for Light and Electron Optics, 127(2016), 8043–8055. 3

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 30, 2016

Submission Date

January 9, 2017

Acceptance Date

-

Published in Issue

Year 2016 Volume: 5

APA
Bulut, H., Yel, G., & Başkonuş, H. M. (2016). An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation. Turkish Journal of Mathematics and Computer Science, 5, 1-7. https://izlik.org/JA86DF35AA
AMA
1.Bulut H, Yel G, Başkonuş HM. An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation. TJMCS. 2016;5:1-7. https://izlik.org/JA86DF35AA
Chicago
Bulut, Hasan, Gülnur Yel, and Hacı Mehmet Başkonuş. 2016. “An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation”. Turkish Journal of Mathematics and Computer Science 5 (December): 1-7. https://izlik.org/JA86DF35AA.
EndNote
Bulut H, Yel G, Başkonuş HM (December 1, 2016) An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation. Turkish Journal of Mathematics and Computer Science 5 1–7.
IEEE
[1]H. Bulut, G. Yel, and H. M. Başkonuş, “An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation”, TJMCS, vol. 5, pp. 1–7, Dec. 2016, [Online]. Available: https://izlik.org/JA86DF35AA
ISNAD
Bulut, Hasan - Yel, Gülnur - Başkonuş, Hacı Mehmet. “An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation”. Turkish Journal of Mathematics and Computer Science 5 (December 1, 2016): 1-7. https://izlik.org/JA86DF35AA.
JAMA
1.Bulut H, Yel G, Başkonuş HM. An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation. TJMCS. 2016;5:1–7.
MLA
Bulut, Hasan, et al. “An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation”. Turkish Journal of Mathematics and Computer Science, vol. 5, Dec. 2016, pp. 1-7, https://izlik.org/JA86DF35AA.
Vancouver
1.Hasan Bulut, Gülnur Yel, Hacı Mehmet Başkonuş. An Application of Improved Bernoulli Sub-Equation Function Method to The Nonlinear Time-Fractional Burgers Equation. TJMCS [Internet]. 2016 Dec. 1;5:1-7. Available from: https://izlik.org/JA86DF35AA