TY - JOUR T1 - چندجمله‌ای‌های لژاندر بهبود یافته کسری در حل معادلات دیفرانسیل با مشتقات جزیی کسری با تأخیر زمانی TT - چندجمله‌ای‌های لژاندر بهبود یافته کسری در حل معادلات دیفرانسیل با مشتقات جزیی کسری با تأخیر زمانی JF - khu-mmr JO - khu-mmr VL - 7 IS - 2 UR - http://mmr.khu.ac.ir/article-1-3066-en.html Y1 - 2021 SP - 263 EP - 278 KW - Fractional alternative Legendre functions KW - pseudo-operational matrix of derivative KW - fractional delay differential equations KW - collocation method. N2 - In this paper, the pseudo-operational matrices of the integer and fractional derivative for the fractional alternative Legendre polynomials (FALPs) are introduced for the first time. These operational matrices and the Gauss-Legendre collocation method are used to solve a set of delay differential equations (DDEs) with fractional derivatives. Using operational and pseudo-operational matrices, DDE with fractional partial derivatives are reduced to the set of algebraic equations with unknown FALP coefficients. Finally, some examples are included to demonstrate the applicability of the method../files/site1/files/72/7Abstract(1).pdf M3 10.52547/mmr.7.2.263 ER -