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.
