APPROXIMATE SOLUTION FOR TIME FRACTIONAL NONLINEAR MKDV EQUATION WITHIN LOCAL FRACTIONAL OPERATORS

Abstract

In this paper, we first propose a method, which is originated from coupling local fractional Yang–Laplace transform with the Daftardar–Gejji–Jafaris method (LFYLTDGJM). The proposed method is successfully applied to solve the local time fractional nonlinear modified Korteweg–de Vries (TFNMKDV) equation. The approximate solution presented here illustrates the efficiency and accuracy of the proposed computational technique to solve fractional nonlinear the partial differential equations involving local fractional operators.