Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients
Yükleniyor...
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yildiz Technical University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we consider model equations K(m,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 K(m,n) with fractional Caputo time derivatives. Furthermore, we obtain the exact solution for K(1,1) 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 K(m,m) with the fractional Caputo time derivative.
Açıklama
Anahtar Kelimeler
Lie Groups, Conservation Laws, Fractional Calculus, Nonlinear Differential Equations
Kaynak
Sigma Journal of Engineering and Natural Sciences
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
42
Sayı
3
Künye
İskenderoğlu, G., & Kaya D. (2024). Lie Symmetry Analysis of Caputo Time-Fractional K(m,n) Model Equations with Variable Coefficients. Sigma Journal of Engineering and Natural Sciences, 42(3), 885-899.
