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Kexue, Li; Jigen, Peng

Laplace transform and fractional differential equations. (English) Zbl 1238.34013

Appl. Math. Lett. 24, No. 12, 2019-2023 (2011).
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.
Reviewer: Krishnan Balachandran (Coimbatore)

Cited in 79 Documents

MSC:

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

Keywords:

Laplace transform; Riemann-Liouville derivative; Caputo derivative; Mittag-Leffler function
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\textit{L. Kexue} and \textit{P. Jigen}, Appl. Math. Lett. 24, No. 12, 2019--2023 (2011; Zbl 1238.34013)
Full Text: DOI

References:

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