ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD FOR FRACTIONAL ORDER SYSTEM OF LINEAR AND NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

Abstract

The pivotal aim of this paper is to propose an efficient computational technique, namely, Elzaki fractional projected differential transform method (EFPDTM) to solve the system of linear and nonlinear fractional differential equations. In the EFPDTM process, we investigate the behavior of independent variables for convergent series solution in admissible range. The EFPDTM manipulates and controls the series solution, which rapidly converges to the exact solution in a large admissible domain in a very efficient way. The solution procedure and explanation show the flexible efficiency of the EFPDTM, compared to the other existing classical techniques for solving the system of linear and nonlinear fractional differential equations.