A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics

In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising in mathematical physics with local fractional derivative operators (LFDOs). To get approximate solutions of these equations, we utilize the reduce differential transform method (RDTM) which is based upon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. The obtained solutions show that the present method is an efficient and simple tool for solving the linear and nonlinear PDEs within the LFDOs.

کلیدواژه ها:

Local fractional RDTM ، Diffusion equation ، Klein-Gordon equation ، Schrodinger equation ، Nonlinear gas dynamic equation ، Local fractional derivative operators