Laplace transform and fractional differential equations

Li Kexue; Peng Jigen

doi:10.1016/j.aml.2011.05.035

Laplace transform and fractional differential equations

Li Kexue
, Peng Jigen

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

288 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	2019-2023
Number of pages	5
Journal	Applied Mathematics Letters
Volume	24
Issue number	12
DOIs	https://doi.org/10.1016/j.aml.2011.05.035
State	Published - Dec 2011

Keywords

Caputo fractional derivative
Fractional differential equations
Laplace transform
RiemannLiouville fractional derivative

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10.1016/j.aml.2011.05.035

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title = "Laplace transform and fractional differential equations",

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

keywords = "Caputo fractional derivative, Fractional differential equations, Laplace transform, RiemannLiouville fractional derivative",

author = "Li Kexue and Peng Jigen",

year = "2011",

month = dec,

doi = "10.1016/j.aml.2011.05.035",

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AU - Jigen, Peng

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

KW - Caputo fractional derivative

KW - Fractional differential equations

KW - Laplace transform

KW - RiemannLiouville fractional derivative

UR - https://www.scopus.com/pages/publications/79961173857

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DO - 10.1016/j.aml.2011.05.035

M3 - 文章

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VL - 24

SP - 2019

EP - 2023

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 12

ER -

Laplace transform and fractional differential equations

Abstract

Keywords

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