Title of article :
A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics
Author/Authors :
Jassim, Hassan Kamil Department of Mathematics - Faculty of Education for Pure Sciences - University of Thi-Qar, Nasiriyah, Iraq. , Vahidi, Javad Department of Mathematics - Iran University of Science and Technology, Tehran, Iran
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 :
Diffusion equation , Local fractional RDTM , Klein-Gordon equation , Schrodinger equation , Nonlinear gas dynamic equation , Local fractional derivative operators
Journal title :
International Journal of Nonlinear Analysis and Applications
