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

Gulistan ISKENDEROGLU; Dogan KAYA

doi:https://doi.org/10.33401/fujma.598107

Makale detayları

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

Yazarlar:

Gulistan ISKENDEROGLU | Dogan KAYA

Yayıncı:

Fuat USTA

Ana Başlıklar:

Veri işleme & bilgisayar bilimi

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.139-147

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422164

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.598107

Özet:

 


Many physical phenomena in nature can be described or modeled via a differential equation or a system of differential equations. In this work, we restrict our attention to research a solution of fractional nonlinear generalized Burgers' differential equations.  Thereby we find some exact solutions for the nonlinear generalized Burgers' differential equation with a fractional derivative, which has domain as R2×R+R2×R+\mathbb{R}^2\times\mathbb{R}^+. Here we use the Lie groups method. After applying the Lie groups to the boundary value problem we get the partial differential equations on the domain R2R2\mathbb{R}^2 with reduced boundary and initial conditions. Also, we find conservation laws for the nonlinear generalized Burgers' differential equation.

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Makale detayları

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

Yazarlar: Gulistan ISKENDEROGLU | Dogan KAYA

Yayıncı: Fuat USTA

Ana Başlıklar: Veri işleme & bilgisayar bilimi

Dergi: Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.139-147

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000422164

pISSN: 2645-8845

DOI: https://doi.org/10.33401/fujma.598107

Sayı

Yazarlar:

Gulistan ISKENDEROGLU | Dogan KAYA

Yayıncı:

Fuat USTA

Ana Başlıklar:

Veri işleme & bilgisayar bilimi

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.139-147

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422164

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.598107