Conference Paper

On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM

Volume: 3 Number: 1 December 15, 2020
EN

On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM

Abstract

Investigating the solutions of fractional differential equations are essential to understand the nonlinear process that appears in some branch of physical phenomena such as optics, quantum electrons, control theory of dynamical systems. Several computational techniques for the solutions of these equations have been developed. In this study, we implement the Improved Bernoulli Sub-Equation Function Method (IBSEFM) to construct the exact solutions of conformable time fractional KdV equation. We obtain new travelling wave solutions of KdV equation via IBSEFM. We plot the contourplots and 2D,3D graphs by the aid of mathematics software that acquired from the values of the solutions.

Keywords

References

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  4. 4 B. Lu, The first integral method for some time fractional differential equations, J. Math. Anal. Appl., 395 (2012) , 684-693.
  5. 5 V. Ala, U. Demirbilek, Kh. R. Mamedov, An Application of Improved Bernoulli Sub-Equation Function Method to the Nonlinear conformable Time Fractional SRLW Equation, AIMS Mathematics, 5(4) (2020), 3751-3761.
  6. 6 J. Boussinesq, Essai sur la theorie des eaux courantes, Memoires presentes par divers savants l Acad. des Sci. Inst. Nat. France, XXIII, (1877) 1-680.
  7. 7 D. J. Korteweg, G. de Vries, On the Change of Form of Long Waves Advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves, Phil. Mag., 39 (240) (1895), 422-443.
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Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Authors

Volkan Ala This is me
Türkiye

Khanlar R. Mamedov This is me
Türkiye

Publication Date

December 15, 2020

Submission Date

August 11, 2020

Acceptance Date

September 29, 2020

Published in Issue

Year 1970 Volume: 3 Number: 1

APA
Demirbilek, U., Ala, V., & Mamedov, K. R. (2020). On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM. Conference Proceedings of Science and Technology, 3(1), 203-206. https://izlik.org/JA27TH42CS
AMA
1.Demirbilek U, Ala V, Mamedov KR. On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM. Conference Proceedings of Science and Technology. 2020;3(1):203-206. https://izlik.org/JA27TH42CS
Chicago
Demirbilek, Ulviye, Volkan Ala, and Khanlar R. Mamedov. 2020. “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”. Conference Proceedings of Science and Technology 3 (1): 203-6. https://izlik.org/JA27TH42CS.
EndNote
Demirbilek U, Ala V, Mamedov KR (December 1, 2020) On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM. Conference Proceedings of Science and Technology 3 1 203–206.
IEEE
[1]U. Demirbilek, V. Ala, and K. R. Mamedov, “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 203–206, Dec. 2020, [Online]. Available: https://izlik.org/JA27TH42CS
ISNAD
Demirbilek, Ulviye - Ala, Volkan - Mamedov, Khanlar R. “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”. Conference Proceedings of Science and Technology 3/1 (December 1, 2020): 203-206. https://izlik.org/JA27TH42CS.
JAMA
1.Demirbilek U, Ala V, Mamedov KR. On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM. Conference Proceedings of Science and Technology. 2020;3:203–206.
MLA
Demirbilek, Ulviye, et al. “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”. Conference Proceedings of Science and Technology, vol. 3, no. 1, Dec. 2020, pp. 203-6, https://izlik.org/JA27TH42CS.
Vancouver
1.Ulviye Demirbilek, Volkan Ala, Khanlar R. Mamedov. On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM. Conference Proceedings of Science and Technology [Internet]. 2020 Dec. 1;3(1):203-6. Available from: https://izlik.org/JA27TH42CS