A Novel Analytical View of Time-Fractional Korteweg-De Vries Equations via a New Integral Transform

We put into practice relatively new analytical techniques, the Shehu decomposition method and iterative transform method, for solving nonlinear fractional coupled Korteweg-de Vries (KdV) equation. The KdV equation has been developed to represent a broad spectrum of physics behaviors evolution association waves. Approximate-analytical solutions are presented in form series with simple straightforward components, some aspects show an appropriate dependence on values fractional-order derivatives that are, certain sense, symmetric. derivative is proposed Caputo sense. uniqueness convergence analysis carried out. To comprehend procedure both methods, three test examples provided results time-fractional Additionally, efficiency mentioned procedures reduction calculations provide broader applicability. It also illustrated findings current methodology close harmony exact solutions. worth mentioning methods powerful best tackle PDEs.