تعداد نشریات | 44 |
تعداد شمارهها | 1,306 |
تعداد مقالات | 15,987 |
تعداد مشاهده مقاله | 52,407,052 |
تعداد دریافت فایل اصل مقاله | 15,167,225 |
The solving integro-differential equations of fractional order with the ultraspherical functions | ||
Computational Methods for Differential Equations | ||
مقاله 14، دوره 8، شماره 1، فروردین 2020، صفحه 205-211 اصل مقاله (345.49 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2019.9655 | ||
نویسندگان | ||
Ali Khani* 1؛ Saeid Panahy2 | ||
1Faculty of Sciences, Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran | ||
2Facutly of Sciences Department of Mathematical , Azarbaijan Shahid Madani University, Tabriz, Iran | ||
چکیده | ||
In this paper, an integration method is presented based on using ultraspherical polynomials for solving a class of linear fractional integro-di_erential equations of Volterra types. This method is based on a new investigation of ultrasphreical integration to approximate the highest order derivative in the equations and generate approximations to the lower order derivatives through integration of the higher-order derivatives. Numerical example illustrate the efficiency and accuracy of the method. | ||
کلیدواژهها | ||
Fractional integro-differential equation؛ Ultraspherical functions؛ Caputo derivative | ||
آمار تعداد مشاهده مقاله: 485 تعداد دریافت فایل اصل مقاله: 387 |