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Dergiler / Turkish Journal of Physics / 2018 / Cilt: 42 - Sayı: 3

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

Hasibe Hale KARAYER
Fevzi BÜYÜKKILIÇ
Ahmet Doğan DEMİRHAN
Sayfa
254–264
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we consider the Korteweg–de Vries (KdV) equation for solitary waves in the domain ofconformable fractional calculus.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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.

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Bu Makaleye Atıf Yap

KARAYER, H. H., BÜYÜKKILIÇ, F., DEMİRHAN, A. D. (2022). Analytical solutions of conformable time, space, and time–space fractional KdV equations. Turkish Journal of Physics, Cilt: 42 - Sayı: 3, 254–264. https://ajindex.com/articles/613981

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