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Laplace transform and fractional differential equations. (English) Zbl 1238.34013
The authors establish a sufficient condition for solving the constant coefficient matrix fractional differential equation by using Laplace transform. Further, the authors provide a solution representation for the matrix fractional differential equation using the Mittag-Leffler function.

34A08Fractional differential equations
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)
Full Text: DOI
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