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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 | ||
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آمار تعداد مشاهده مقاله: 612 تعداد دریافت فایل اصل مقاله: 491 |
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