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

Cilt: 3 Sayı: 1 15 Aralık 2020
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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

Kaynakça

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  2. 2 W. Liu, K. Chen, The functional variable method for finding exact solutions of some nonlinear time fractional differential equations, Pramana, 81 (2013), 377-384.
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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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Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yazarlar

Volkan Ala Bu kişi benim
Türkiye

Khanlar R. Mamedov Bu kişi benim
Türkiye

Yayımlanma Tarihi

15 Aralık 2020

Gönderilme Tarihi

11 Ağustos 2020

Kabul Tarihi

29 Eylül 2020

Yayımlandığı Sayı

Yıl 1970 Cilt: 3 Sayı: 1

Kaynak Göster

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, ve 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 (01 Aralık 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, ve K. R. Mamedov, “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”, Conference Proceedings of Science and Technology, c. 3, sy 1, ss. 203–206, Ara. 2020, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, vd. “On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM”. Conference Proceedings of Science and Technology, c. 3, sy 1, Aralık 2020, ss. 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]. 01 Aralık 2020;3(1):203-6. Erişim adresi: https://izlik.org/JA27TH42CS