TY - JOUR T1 - Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices TT - حل عددی معادلۀ تلگراف دوبعدی با مشتقات کسری فضا-زمان با استفاده از ماتریس‌های عملیاتی لژاندر انتقال یافته JF - khu-mmr JO - khu-mmr VL - 4 IS - 1 UR - http://mmr.khu.ac.ir/article-1-2655-en.html Y1 - 2018 SP - 45 EP - 62 KW - Operational matrices KW - Caputo fractional derivative KW - Riemann-Liouville fractional integral KW - Shifted Legendre polynomials KW - Two-dimensional space-time fractional telegraph equation N2 - Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They are also used in modeling of many chemical processed, mathematical biology and many other problems in engineering. The history and a comprehensive treatment of FDEs are provided by Podlubny and a review of some applications of FDEs are given by Mainardi. ./files/site1/files/41/4Extended_Abstract(1).pdf M3 10.29252/mmr.4.1.45 ER -