TY - JOUR
ID - 9526
TI - Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Aliev, Fikret
AU - Aliev, Nihan
AU - Safarova, Nargiz
AU - Velieva, Naila
AD - Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan
Y1 - 2020
PY - 2020
VL - 8
IS - 1
SP - 212
EP - 221
KW - Cauchy problem
KW - Linear fractional derivative system
KW - Mittag-Leffler function
KW - Constant matrix coefficients
DO - 10.22034/cmde.2019.9526
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_9526.html
L1 - https://cmde.tabrizu.ac.ir/article_9526_34e7ba013b67fb9e9218892109264c08.pdf
ER -