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

Yıl 2024, Cilt: 42 Sayı: 3, 885 - 889, 12.06.2024

Gülistan İskenderoğlu Doğan Kaya

Öz

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 Capu-to 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.

Anahtar Kelimeler

Lie Groups, Conservation Laws, Fractional Calculus, Nonlinear Differential Equations

Kaynakça

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