A NEW APPROACH FOR SOLVING A SYSTEM OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATION
T. G. Thange and A. R. Gade
In this paper, a new method for finding a solution of system of linear and non-linear fractional order partial differential equations is developed. By combining the Shehu Transform method and Iterative method we built a new way called “Iterative Shehu Transform method”. This method gives solutions without any discretization and free from round-off errors, which reduces the numerical computations. Lastly, some examples are illustrating the effectiveness of this new method.
Keywords: Iterative method, Mittag-Leffler function, Shehu transform method, Caputo fractional Derivative, Fractional partial differential equations.