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Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations | ||
Computational Methods for Differential Equations | ||
مقاله 15، دوره 8، شماره 1، فروردین 2020، صفحه 212-221 اصل مقاله (339.07 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2019.9526 | ||
نویسندگان | ||
Fikret Aliev* ؛ Nihan Aliev؛ Nargiz Safarova؛ Naila Velieva | ||
Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan | ||
چکیده | ||
A new simplified analytical formula is given for solving the Cauchy problem for a homogeneous system of fractional order linear differential equations with constant coefficients (SFOLDECC). The matrix exponential function in this formula is re- placed by a Taylor series. Next, an analytical expression of the integral is obtained, with the help of which, for the transition matrix, a relation is obtained that allows one to obtain a solution of the Cauchy problem with high accuracy. The results also apply to the case of inhomogeneous systems with constant perturbations and are illustrated by numerical examples. | ||
کلیدواژهها | ||
Cauchy problem؛ Linear fractional derivative system؛ Mittag-Leffler function؛ Constant matrix coefficients | ||
آمار تعداد مشاهده مقاله: 697 تعداد دریافت فایل اصل مقاله: 400 |