An Efficient Algorithm for Solving Nonlinear Systems of Partial Differential Equations with Local Fractional Operators

摘要

The aim of the present study is to extend the local fractionalSumudu decomposition method (LFSDM) to resolve nonlinear systemsof partial differential equations with local fractional derivatives. The derivativeoperators are taken in the local fractional sense. The LFSDMmethod provides the solution in a rapid convergent series, which may leadthe non-differentiable solution in a closed form, this makes them an appropriatemethod for similar problems. We have provided some examplesto confirm their flexibility in solving these types of systems.