A New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.

2 Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran. Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.

10.22075/ijnaa.2021.4653

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