Kadkhoda, N.Baleanu, D.Jafari, H.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2023-02-162025-09-182023-02-162025-09-182022Jafari, H.; Kadkhoda, N.; Baleanu, Dumitru (2022). "Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients", Studies in Systems, Decision and Control, Vol. 373, pp. 207-227.2198-4182https://doi.org/10.1007/978-3-030-77169-0_8https://hdl.handle.net/123456789/11344We investigated the analytical solution of fractional order K(m, n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m, n) type equation. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.eninfo:eu-repo/semantics/closedAccessFractional Differential EquationFractional Order K(MLie Symmetry Analysis MethodN) Type EquationReduced EquationBook Part10.1007/978-3-030-77169-0_82-s2.0-85114883446