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

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:3
Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients

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

Authors : Gülistan İskenderoğlu, Doğan Kaya

Pages : 885-889

View : 37 | Download : 40

Publication Date : 2024-06-12

Article Type : Research Paper

Abstract :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.
Keywords : Lie Groups, Conservation Laws, Fractional Calculus, Nonlinear Differential Equations

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