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Efficient analytical method for the solution of some fractional -order nonlinear differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 37، دوره 13، شماره 2، مهر 2022، صفحه 401-408 اصل مقاله (802.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6498 | ||
| نویسندگان | ||
| Maad Gatea Mousa؛ Huda Omran Altaie* | ||
| Department of Mathematics, College of Education For Pure Sciences, Ibn Al-Haitham, University of Baghdad, Iraq | ||
| تاریخ دریافت: 14 دی 1400، تاریخ بازنگری: 27 اسفند 1400، تاریخ پذیرش: 18 فروردین 1401 | ||
| چکیده | ||
| A novel technique called the Variational Adomian decomposition method (VIADM) is used to approximate an analytical solution for several types of non-linear fractional differential equations. Some examples are presented to back up our findings. The solution procedure and results indicated that the proposed method is very effective, reliable, and straightforward. The results show how effective and precise the present technology is at resolving various nonlinear problems in applied science. The MATLAB software carried out all the computations and graphics. Fractional derivatives are mentioned in Caputo Sense. Moreover, a graphical representation was made for the solution of some examples. For integer and fractional order problems, solution graphs are shown. | ||
| کلیدواژه‌ها | ||
| Caputo operator؛ Approximate Solution؛ Partial differential equations؛ Adomian Decomposition Method؛ Fractional Calculus | ||
| مراجع | ||
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