The Solution Of Fractional Partial Differential Equation And Fractional Differential System By Sumudu Transformation Method

In this paper,the application of the time fractional partial differential equation of a class of Caputo derivatives to the homotopy analysis Sumudu transformation method and a method of combining the Adomian decomposition method with the Sumudu transform for solving the problem of the time fractional order system are mainly studied.The numer-ical examples are used to determine the good stability and convergence of each method,and show that the methods have good accuracy,practicability and simplicity.The first part is mainly about the method thought and numerical calculation of a class of fractional or-der partial differential equations,and get better results.The second part is mainly about the method thought and numerical calculation of a class of fractional differential equations.