@article {
author = {Aliev, Fikret and Aliev, Nihan and Safarova, Nargiz and Velieva, Naila},
title = {Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations},
journal = {Computational Methods for Differential Equations},
volume = {8},
number = {1},
pages = {212-221},
year = {2020},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {10.22034/cmde.2019.9526},
abstract = {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.},
keywords = {Cauchy problem,Linear fractional derivative system,Mittag-Leffler function,Constant matrix coefficients},
url = {https://cmde.tabrizu.ac.ir/article_9526.html},
eprint = {https://cmde.tabrizu.ac.ir/article_9526_34e7ba013b67fb9e9218892109264c08.pdf}
}