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.


34A08 Fractional ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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