Yıl: 2019 Cilt: 2 Sayı: 2 Sayfa Aralığı: 139 - 147 Metin Dili: İngilizce DOI: 10.33401/fujma.598107 İndeks Tarihi: 04-09-2020

Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation

Öz:
Many physical phenomena in nature can be described or modeled via a differential equationor a system of differential equations. In this work, we restrict our attention to research asolution of fractional nonlinear generalized Burgers’ differential equations. Thereby wefind some exact solutions for the nonlinear generalized Burgers’ differential equation with afractional derivative, which has domain as $mathbb{R}^2$ ×$mathbb{R}^+$. Here we use the Lie groups method.After applying the Lie groups to the boundary value problem we get the partial differentialequations on the domain $mathbb{R}^2$ with reduced boundary and initial conditions. Also, we findconservation laws for the nonlinear generalized Burgers’ differential equation.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ISKENDEROGLU G, KAYA D (2019). Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. , 139 - 147. 10.33401/fujma.598107
Chicago ISKENDEROGLU Gulistan,KAYA DOĞAN Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. (2019): 139 - 147. 10.33401/fujma.598107
MLA ISKENDEROGLU Gulistan,KAYA DOĞAN Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. , 2019, ss.139 - 147. 10.33401/fujma.598107
AMA ISKENDEROGLU G,KAYA D Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. . 2019; 139 - 147. 10.33401/fujma.598107
Vancouver ISKENDEROGLU G,KAYA D Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. . 2019; 139 - 147. 10.33401/fujma.598107
IEEE ISKENDEROGLU G,KAYA D "Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation." , ss.139 - 147, 2019. 10.33401/fujma.598107
ISNAD ISKENDEROGLU, Gulistan - KAYA, DOĞAN. "Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation". (2019), 139-147. https://doi.org/10.33401/fujma.598107
APA ISKENDEROGLU G, KAYA D (2019). Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. Fundamental journal of mathematics and applications (Online), 2(2), 139 - 147. 10.33401/fujma.598107
Chicago ISKENDEROGLU Gulistan,KAYA DOĞAN Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. Fundamental journal of mathematics and applications (Online) 2, no.2 (2019): 139 - 147. 10.33401/fujma.598107
MLA ISKENDEROGLU Gulistan,KAYA DOĞAN Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. Fundamental journal of mathematics and applications (Online), vol.2, no.2, 2019, ss.139 - 147. 10.33401/fujma.598107
AMA ISKENDEROGLU G,KAYA D Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. Fundamental journal of mathematics and applications (Online). 2019; 2(2): 139 - 147. 10.33401/fujma.598107
Vancouver ISKENDEROGLU G,KAYA D Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation. Fundamental journal of mathematics and applications (Online). 2019; 2(2): 139 - 147. 10.33401/fujma.598107
IEEE ISKENDEROGLU G,KAYA D "Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation." Fundamental journal of mathematics and applications (Online), 2, ss.139 - 147, 2019. 10.33401/fujma.598107
ISNAD ISKENDEROGLU, Gulistan - KAYA, DOĞAN. "Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation". Fundamental journal of mathematics and applications (Online) 2/2 (2019), 139-147. https://doi.org/10.33401/fujma.598107