LOCAL FRACTIONAL SUMUDU DECOMPOSITION METHOD TO SOLVE FRACTAL PDEs ARISING IN MATHEMATICAL PHYSICS
Ping Cui, Hassan Kamil Jassim
Abstract
In this paper, we investigate solutions of telegraph, Laplace and wave equations within the local fractional derivative operator by using local fractional Sumudu decomposition method. This method is coupled by the Sumudu transform and decomposition method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.
Topics & Concepts
FractalDecompositionApplied mathematicsMathematicsStatistical physicsDecomposition method (queueing theory)Calculus (dental)Mathematical analysisPhysicsStatisticsDentistryEcologyBiologyMedicineFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials