Baleanu, DumitruJassim, Hassan Kamil2019-12-272019-12-272019Baleanu, Dumitru; Jassim, Hassan Kamil, "A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets", Fractal and Fractional, Vol. 3, No.2, (June 2019).2504-3110http://hdl.handle.net/20.500.12416/2320In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a combination of the local fractional Laplace transform (LFLT) and the homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.eninfo:eu-repo/semantics/openAccessHelmholtz EquationLocal Fractional Homotopy Perturbation MethodLocal Fractional Laplace TransformLocal Fractional Derivative OperatorArticle3210.3390/fractalfract3020030