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A new approach to solve weakly singular fractional-order delay integro-differential equations using operational matrices | ||
| Journal of Mathematical Modeling | ||
| مقاله 4، دوره 11، شماره 2، مهر 2023، صفحه 257-275 اصل مقاله (236.94 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23316.2080 | ||
| نویسندگان | ||
| Saeedeh Rezabeyk1؛ Saeid Abbasbandy* 2؛ Elyas shivanian2؛ Hesam Derili1 | ||
| 1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| 2Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, 34149-16818, Iran | ||
| چکیده | ||
| In this paper, we propose a new approach to solve weakly singular fractional delay integro-differential equations. In the proposed approach, we apply the operational matrices of fractional integration and delay function based on the shifted Chebyshev polynomials to approximate the solution of the considered equation. By approximating the fractional derivative of the unknown function as well as the unknown function in terms of the shifted Chebyshev polynomials and substituting these approximations into the original equation, we obtain a system of nonlinear algebraic equations. We present the convergence analysis of the proposed method. Finally, to show the accuracy and validity of the proposed method, we give some numerical examples. | ||
| کلیدواژهها | ||
| Operational matrices؛ fractional delay integro-differential equation؛ weakly singular kernel | ||
| مراجع | ||
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