RT - Journal Article T1 - چندجمله‌ای‌های لژاندر بهبود یافته کسری در حل معادلات دیفرانسیل با مشتقات جزیی کسری با تأخیر زمانی JF - khu-mmr YR - 2021 JO - khu-mmr VO - 7 IS - 2 UR - http://mmr.khu.ac.ir/article-1-3066-en.html SP - 263 EP - 278 K1 - Fractional alternative Legendre functions K1 - pseudo-operational matrix of derivative K1 - fractional delay differential equations K1 - collocation method. AB - 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 LA eng UL http://mmr.khu.ac.ir/article-1-3066-en.html M3 10.52547/mmr.7.2.263 ER -