AU - Barikbin, Zahra AU - Hemati, Ehsanullah AU - Sedaghat, Salameh TI - چندجمله‌ای‌های لژاندر بهبود یافته کسری در حل معادلات دیفرانسیل با مشتقات جزیی کسری با تأخیر زمانی PT - JOURNAL ARTICLE TA - khu-mmr JN - khu-mmr VO - 7 VI - 2 IP - 2 4099 - http://mmr.khu.ac.ir/article-1-3066-en.html 4100 - http://mmr.khu.ac.ir/article-1-3066-en.pdf SO - khu-mmr 2 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 CP - IRAN IN - Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran LG - eng PB - khu-mmr PG - 263 PT - Original Manuscript YR - 2021