University of Tabriz Computational Methods for Differential Equations 2345-3982 9 3 2021 07 01 An accurate method for nonlinear local fractional Wave-Like equations with variable coefficients 774 787 10935 10.22034/cmde.2020.32950.1532 EN Djelloul Ziane Laboratory of mathematics and its applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria. Mountassir Hamdi Cherif Laboratory of mathematics and its applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria. Kacem Belghaba Laboratory of mathematics and its applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria. Fethi Bin Muhammad Belgacem Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait. Journal Article 2019 04 20 The basic motivation of the present study is to apply the local fractional Sumudu variational iteration method (LFSVIM) for solving nonlinear wave-like equations with variable coefficients and within local fractional derivatives. The derivatives operators are taken in the local fractional sense. The results show that the LFSVIM is an appropriate method to find non-differentiable solutions for similar problems. The results of the solved examples showed the flexibility of applying this method and its ability to reach accurate results even with these new differential equations. https://cmde.tabrizu.ac.ir/article_10935_13ef96beb668f088b5428287e7a55265.pdf