University of Tabriz Computational Methods for Differential Equations 2345-3982 8 1 2020 01 01 Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations 212 221 9526 10.22034/cmde.2019.9526 EN Fikret Aliev Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan Nihan Aliev Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan Nargiz Safarova Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan Naila Velieva Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan Journal Article 2019 07 19 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. https://cmde.tabrizu.ac.ir/article_9526_34e7ba013b67fb9e9218892109264c08.pdf