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A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 4، دوره 12، شماره 1، مرداد 2021، صفحه 37-44 اصل مقاله (141.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4653 | ||
| نویسندگان | ||
| Hassan Kamil Jassim* 1؛ Javad Vahidi2 | ||
| 1Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. | ||
| 2Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran. Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa. | ||
| تاریخ دریافت: 29 مهر 1399، تاریخ پذیرش: 13 آذر 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Local fractional RDTM؛ Diffusion equation, Klein-Gordon equation, Schrodinger equation, Nonlinear gas dynamic equation, Local fractional derivative operators | ||
| مراجع | ||
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