A new analytical approximate solution of fractional coupled Korteweg-de Vries system

The main objective of this work is to present a modification the Mittag- Leffler function deduce relatively new analytical approximate method (for short MMLFM) able solve time-fractional nonlinear partial differential equations (PDEs). Moreover, we employ MMLFM coupled Korteweg-de Vries (KdV) model described by two fractional (FPDEs) based upon Caputo derivative (CFD). simulation projected results presented in some figures and tables. Furthermore, compare our solutions when ? = 1 with known exact which indicate good agreement, addition, outcomes obtained other methods literature such as Natural decomposing (NDM) homotopy decomposition (HDM) order prove reliability efficiency used method. Also, display different values effect on proposed problem. article reveal advantages MMLFM, simple, reliable, accurate, needs simple mathematical computations, rapidly convergent solution, have straightforward easy algorithm compared study linear FPDEs, makes technique suited for real industrial or medical applications.