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Solutions for system of linear fractional differential equations with constant coefficients. (English. Chinese summary) Zbl 1212.34007

Summary: The problem of solving systems of linear fractional differential equations with constant coefficients is studied. By using the inverse Laplace transform, the Jordan canonical matrix, and the minimal polynomial, three different calculation methods for Mittag-Leffler functions with matrix argument are obtained. The results contain the solutions of systems of linear first-order differential equations with constant coefficients.

MSC:

34A08 Fractional ordinary differential equations
26A33 Fractional derivatives and integrals
33E12 Mittag-Leffler functions and generalizations
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