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.
Aliev, F., Aliev, N., Safarova, N., & Velieva, N. (2020). Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations. Computational Methods for Differential Equations, 8(1), 212-221. doi: 10.22034/cmde.2019.9526
MLA
Fikret Aliev; Nihan Aliev; Nargiz Safarova; Naila Velieva. "Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations". Computational Methods for Differential Equations, 8, 1, 2020, 212-221. doi: 10.22034/cmde.2019.9526
HARVARD
Aliev, F., Aliev, N., Safarova, N., Velieva, N. (2020). 'Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations', Computational Methods for Differential Equations, 8(1), pp. 212-221. doi: 10.22034/cmde.2019.9526
VANCOUVER
Aliev, F., Aliev, N., Safarova, N., Velieva, N. Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations. Computational Methods for Differential Equations, 2020; 8(1): 212-221. doi: 10.22034/cmde.2019.9526
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