Baleanu, DumitruJassim, Hassan KamilAl Qurashi, Maysaa Mohamed2020-04-132020-04-132016Baleanu, Dumitru; Jassim, Hassan Kamil; Al Qurashi, Maysaa, "Approximate analytical solutions of Goursat problem within local fractional operators", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 6, pp. 4829-4837, (2016).2008-18982008-1901http://hdl.handle.net/20.500.12416/3109The local fractional differential transform method (LFDTM) and local fractional decomposition method (LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local fractional derivative operators. The approximate analytical solution of this problem is calculated in form of a series with easily computable components. Examples are studied in order to show the accuracy and reliability of presented methods. We demonstrate that the two approaches are very effective and convenient for finding the analytical solutions of partial differential equations with local fractional derivative operators. (C) 2016 All rights reserved.eninfo:eu-repo/semantics/closedAccessGoursat ProblemLocal Fractional Differential Transform MethodLocal Fractional Decomposition MethodAnalytical SolutionsLocal Fractional Derivative OperatorsArticle9648294837