Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45366220200401Exact Solution for Nonlinear Local Fractional Partial Differential Equations2002081455010.22055/jacm.2019.28835.1509ENDjelloulZianeLaboratory of Mathematics and its Applications (LAMAP), University of Oran1, Oran, Algeria0000-0002-1941-2633MountassirHamdi CherifLaboratory of Mathematics and its Applications (LAMAP), University of Oran1, Oran, Algeria0000-0003-3458-1918DumitruBaleanuDepartment of Mathematics, Cankaya University, Ankara, TurkeyInstitute of Space Sciences, Magurele-Bucharest, Romania0000-0002-0286-7244KacemBelghabaLaboratory of Mathematics and its Applications (LAMAP), University of Oran1, Oran, Algeria0000-0003-4372-6330Journal Article20190307In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples.https://jacm.scu.ac.ir/article_14550_b9fbc3b03e787b53897af757aa0fa2c9.pdf