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

Author(s):

Hassan Kamil Jassim* , Javad Vahidi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Local fractional RDTM , Diffusion equation , Klein-Gordon equation , Schrodingerequation , Nonlinear gas dynamic equation , Local fractional derivative operators

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
37 to 44
https://www.magiran.com/p2261196