Analytical solutions of conformable time, space, and time–space fractional KdV equations

BÜYÜKKILIÇ, Fevzi; KARAYER, Hasibe Hale; DEMİRHAN, Ahmet Doğan

doi:10.3906/fiz-1711-17

Analytical solutions of conformable time, space, and time–space fractional KdV equations

Hasibe Hale KARAYER, (Kırklareli Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümü, Kırklareli, Türkiye)

Ahmet Doğan DEMİRHAN, (Tanımlanmamış Kurum)

Fevzi BÜYÜKKILIÇ (Ege Üniversitesi, Fen Fakültesi, Fizik Bölümü, İzmir, Türkiye)

Turkish Journal of Physics

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Yıl: 2018 Cilt: 42 Sayı: 3 Sayfa Aralığı: 254 - 264 Metin Dili: İngilizce DOI: 10.3906/fiz-1711-17 İndeks Tarihi: 06-07-2020

Analytical solutions of conformable time, space, and time–space fractional KdV equations

Öz:

In this study, we consider the Korteweg–de Vries (KdV) equation for solitary waves in the domain ofconformable fractional calculus. By means of this fractional theory, we obtain exact solutions for time, space, andtime–space fractional KdV equations and demonstrate our results graphically according to the fractional order of therelated equations. Furthermore, we report that the fractional order in the solution of the time fractional KdV equationis associated with viscosity of the medium by comparing three-dimensional picture presentations of solutions of timefractional KdV and Burgers–KdV equations.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	KARAYER H, DEMİRHAN A, BÜYÜKKILIÇ F (2018). Analytical solutions of conformable time, space, and time–space fractional KdV equations. , 254 - 264. 10.3906/fiz-1711-17
Chicago	KARAYER Hasibe Hale,DEMİRHAN Ahmet Doğan,BÜYÜKKILIÇ Fevzi Analytical solutions of conformable time, space, and time–space fractional KdV equations. (2018): 254 - 264. 10.3906/fiz-1711-17
MLA	KARAYER Hasibe Hale,DEMİRHAN Ahmet Doğan,BÜYÜKKILIÇ Fevzi Analytical solutions of conformable time, space, and time–space fractional KdV equations. , 2018, ss.254 - 264. 10.3906/fiz-1711-17
AMA	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F Analytical solutions of conformable time, space, and time–space fractional KdV equations. . 2018; 254 - 264. 10.3906/fiz-1711-17
Vancouver	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F Analytical solutions of conformable time, space, and time–space fractional KdV equations. . 2018; 254 - 264. 10.3906/fiz-1711-17
IEEE	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F "Analytical solutions of conformable time, space, and time–space fractional KdV equations." , ss.254 - 264, 2018. 10.3906/fiz-1711-17
ISNAD	KARAYER, Hasibe Hale vd. "Analytical solutions of conformable time, space, and time–space fractional KdV equations". (2018), 254-264. https://doi.org/10.3906/fiz-1711-17

APA	KARAYER H, DEMİRHAN A, BÜYÜKKILIÇ F (2018). Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics, 42(3), 254 - 264. 10.3906/fiz-1711-17
Chicago	KARAYER Hasibe Hale,DEMİRHAN Ahmet Doğan,BÜYÜKKILIÇ Fevzi Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics 42, no.3 (2018): 254 - 264. 10.3906/fiz-1711-17
MLA	KARAYER Hasibe Hale,DEMİRHAN Ahmet Doğan,BÜYÜKKILIÇ Fevzi Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics, vol.42, no.3, 2018, ss.254 - 264. 10.3906/fiz-1711-17
AMA	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics. 2018; 42(3): 254 - 264. 10.3906/fiz-1711-17
Vancouver	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics. 2018; 42(3): 254 - 264. 10.3906/fiz-1711-17
IEEE	KARAYER H,DEMİRHAN A,BÜYÜKKILIÇ F "Analytical solutions of conformable time, space, and time–space fractional KdV equations." Turkish Journal of Physics, 42, ss.254 - 264, 2018. 10.3906/fiz-1711-17
ISNAD	KARAYER, Hasibe Hale vd. "Analytical solutions of conformable time, space, and time–space fractional KdV equations". Turkish Journal of Physics 42/3 (2018), 254-264. https://doi.org/10.3906/fiz-1711-17