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The Cauchy problem for fractional derivatives linear systems of ordinarydifferential equations with constant coefficients is considered, where at firstthe analytic expressions are given through the matrix exponent of itscorresponding solution. On the basis of the obtained results the conditions aregiven, providing the asymptotic stability of the initial system. The resultsare illustrated on the numerical example, where it is shown that when the orderof the fractional derivative tends to unity, so the solution tends to thecorresponding exponential function.

Solving the linear fractional derivatives ordinary differential equations with constant matrix coefficients