Author/Authors :
Aliev, Fikret Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Aliev, Nihan Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Safarova, Nargiz Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Velieva, Naila Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan
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 :
Constant matrix coefficients , Cauchy problem , Linear fractional derivative system , Mittag-Leffler function
