Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
نویسندگان
1 Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan
2 Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan
3 Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan
4 Institute of Applied Mathematics, Baku State University, Z.Khalilov str, 23, AZ1148, Baku Azerbaijan
doi
10.22034/cmde.2019.9526چکیده
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.
