Laplace transform and fractional differential equations

In this paper, we give a sufficient condition to guarantee the rationality of solving constant coefficient fractional differential equations by the Laplace transform method.

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Bibliographic Details
Published in:Applied mathematics letters 2011-12, Vol.24 (12), p.2019-2023
Main Authors: Kexue, Li, Jigen, Peng
Format: Article
Language:English
Subjects:
Caputo fractional derivative
Coefficients
Differential equations
Exact sciences and technology
Fractional differential equations
Laplace transform
Laplace transforms
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations
Real functions
Riemann–Liouville fractional derivative
Sciences and techniques of general use
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Description
Summary:In this paper, we give a sufficient condition to guarantee the rationality of solving constant coefficient fractional differential equations by the Laplace transform method.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.05.035