Solution On Nonlinear Perturbation K(M,N) Roseanu-Hyman Equation With Reduced Differential Transformation Method

Abstract

In this thesis, the reduced differential transformation method (RDTM) has been implemented for solution of nonlinear perturbation k(m,n)Rosenau-Hyman equation with time fractional derivative order of α with (m − 1 < α < m) in both cases homogeneous and non-homogeneous. The main mathematical basics definition and operation of reduced differential transformation method stated. For showed the validity of methods examples have been taken. Based on the example taken by the researcher result of the nonlinear perturbation k(m,n)Roseanu-Hyman equation has been employed in homogeneous and non-homogeneous equations . At last the solution of nonlinear perturbation k(m,n)Rosenau-Hyman equation with time fractional order of α with (m − 1 < α < m) in both cases homogeneous and non-homogeneous were depicted by figures.