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Ezzati, Reza, Ebadi, M. A. (1401). A numerical approach for solving a class of nonlinear fractional integro- differential equation with weakly Singular kernel by alternative legendary polynomials. هنرهای کاربردی, 14(1), 987-1003. doi: 10.22075/ijnaa.2021.23478.2546
Reza Ezzati; M. A Ebadi. "A numerical approach for solving a class of nonlinear fractional integro- differential equation with weakly Singular kernel by alternative legendary polynomials". هنرهای کاربردی, 14, 1, 1401, 987-1003. doi: 10.22075/ijnaa.2021.23478.2546
Ezzati, Reza, Ebadi, M. A. (1401). 'A numerical approach for solving a class of nonlinear fractional integro- differential equation with weakly Singular kernel by alternative legendary polynomials', هنرهای کاربردی, 14(1), pp. 987-1003. doi: 10.22075/ijnaa.2021.23478.2546
Ezzati, Reza, Ebadi, M. A. A numerical approach for solving a class of nonlinear fractional integro- differential equation with weakly Singular kernel by alternative legendary polynomials. هنرهای کاربردی, 1401; 14(1): 987-1003. doi: 10.22075/ijnaa.2021.23478.2546

A numerical approach for solving a class of nonlinear fractional integro- differential equation with weakly Singular kernel by alternative legendary polynomials

International Journal of Nonlinear Analysis and Applications
مقاله 76، دوره 14، شماره 1، فروردین 2023، صفحه 987-1003    اصل مقاله (915.84 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23478.2546
نویسندگان
Reza Ezzati* 1؛ M. A Ebadi2
1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
2Young Researchers and Elite Club, Karaj Branch, Islamic Azad University, Karaj, Iran
تاریخ دریافت: 01 خرداد 1400،  تاریخ بازنگری: 30 مهر 1400،  تاریخ پذیرش: 11 آبان 1400 
چکیده
In this paper, we propose a new spectral approach based on alternative Legendre polynomials for solving nonlinear fractional integro-differential equations with weakly singular kernel. To do this, by the help of operational matrices of fractional integration and product based on these polynomials, we reduce the considered problem to a system of algebraic equations. Also, we investigate the error analysis of the proposed scheme. Finally, we present some numerical examples to show the high accuracy and validity of the new work.
کلیدواژه‌ها
Alternative Legendre polynomials؛ nonlinear fractional integro-differential equations؛ operational matrix؛ error analysis
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