Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

Gülistan İskenderoğlu; Doğan Kaya

Makale detayları

Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

Yazarlar:

Gülistan İskenderoğlu | Doğan Kaya

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Structural Biology

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 3, pp.885-889

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001319369

pISSN:

1304-7191

Anahtar kelimeler:

Özet:

 In this study, we consider model equations Km,n with fractional Caputo time derivatives. By applying the Lie group symmetry method, we determine all symmetries for these equations and present the reduced symmetric equations for the equation Km,n with fractional Capu-to time derivatives. Furthermore, we obtain the exact solution for K1,1 with the fractional Caputo time derivative and provide graphs depicting the behavior at different orders of the fractional time derivative. Additionally, by considering the symmetries of the equation, we establish the conservation laws for Km,m with the fractional Caputo time derivative.

 In this study, we consider model equations Km,n with fractional Caputo time derivatives. By applying the Lie group symmetry method, we determine all symmetries for these equations and present the reduced symmetric equations for the equation Km,n with fractional Capu-to time derivatives. Furthermore, we obtain the exact solution for K1,1 with the fractional Caputo time derivative and provide graphs depicting the behavior at different orders of the fractional time derivative. Additionally, by considering the symmetries of the equation, we establish the conservation laws for Km,m with the fractional Caputo time derivative.

 In this study, we consider model equations Km,n with fractional Caputo time derivatives. By applying the Lie group symmetry method, we determine all symmetries for these equations and present the reduced symmetric equations for the equation Km,n with fractional Capu-to time derivatives. Furthermore, we obtain the exact solution for K1,1 with the fractional Caputo time derivative and provide graphs depicting the behavior at different orders of the fractional time derivative. Additionally, by considering the symmetries of the equation, we establish the conservation laws for Km,m with the fractional Caputo time derivative.

 In this study, we consider model equations Km,n with fractional Caputo time derivatives. By applying the Lie group symmetry method, we determine all symmetries for these equations and present the reduced symmetric equations for the equation Km,n with fractional Capu-to time derivatives. Furthermore, we obtain the exact solution for K1,1 with the fractional Caputo time derivative and provide graphs depicting the behavior at different orders of the fractional time derivative. Additionally, by considering the symmetries of the equation, we establish the conservation laws for Km,m with the fractional Caputo time derivative.

Makale detayları

Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

Yazarlar:

Gülistan İskenderoğlu | Doğan Kaya

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Structural Biology

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 3, pp.885-889

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001319369

pISSN:

1304-7191

Lie Groups

Conservation Laws

Fractional Calculus

Nonlinear Differential Equations

Sayı

Makale detayları

Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

Yazarlar: Gülistan İskenderoğlu | Doğan Kaya

Yayıncı: Yildiz Technical University

Ana Başlıklar: Structural Biology

Dergi: Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 3, pp.885-889

Belge Tipi: Makale

Yayın Tarihi: 12/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001319369

pISSN: 1304-7191

Lie Groups

Conservation Laws

Fractional Calculus

Nonlinear Differential Equations

Sayı

Yazarlar:

Gülistan İskenderoğlu | Doğan Kaya

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Structural Biology

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 3, pp.885-889

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001319369

pISSN:

1304-7191