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- Title
Lie symmetry analysis of Caputo time-fractional K(m,n) model equations with variable coefficients.
- Authors
İSKENDEROĞLU, Gülistan; KAYA, Doğan
- 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 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.
- Subjects
CAPUTO fractional derivatives; CONSERVATION laws (Mathematics); LIE groups; EQUATIONS; SYMMETRY groups; SYMMETRY
- Publication
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi, 2024, Vol 42, Issue 3, p885
- ISSN
1304-7191
- Publication type
Article
- DOI
10.14744/sigma.2024.00078