Laplace变换法求解分数阶差分方程

doi:10.13371/j.cnki.chin.q.j.m.2015.01.012

数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 121-129.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.012

Laplace变换法求解分数阶差分方程

School of Mathematical Science, Anhui University

收稿日期:2013-04-01 出版日期:2015-03-30 发布日期:2020-11-24
作者简介:LI Xiao-yan(1975-), female, native of Xiaoxian, Anhui, an associate professor of Anhui University, engages in fractional differential and difference equations.
基金资助:
Supported by the NSFC(11371027)； Supported by the Starting Research Fund for Doctors of Anhui University(023033190249)； Supported by the NNSF of China,Tian Yuan Special Foundation(11326115)； Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20123401120001)；

Laplace Transform Method Applied to Solve Fractional Difference Equations

School of Mathematical Science, Anhui University

Received:2013-04-01 Online:2015-03-30 Published:2020-11-24
About author:LI Xiao-yan(1975-), female, native of Xiaoxian, Anhui, an associate professor of Anhui University, engages in fractional differential and difference equations.
Supported by:
Supported by the NSFC(11371027)； Supported by the Starting Research Fund for Doctors of Anhui University(023033190249)； Supported by the NNSF of China,Tian Yuan Special Foundation(11326115)； Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20123401120001)；

摘要/Abstract

摘要： In this paper, we discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffler functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.

关键词: discrete fractional calculus, discrete fractional equation, laplace transform, Mittag-Leffler functions

Abstract: In this paper, we discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffler functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.

Key words: discrete fractional calculus, discrete fractional equation, laplace transform, Mittag-Leffler functions

中图分类号:

O175.7

李晓艳, 项江如, 吴亚运. Laplace变换法求解分数阶差分方程[J]. 数学季刊, 2015, 30(1): 121-129.

LI Xiao-yan, XIANG Jiang-ru, WU Ya-yun. Laplace Transform Method Applied to Solve Fractional Difference Equations[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 121-129.

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[2]	毕光庆, 毕越凯. 抽象算子与高阶线性偏微分方程#br#[J]. 数学季刊, 2011, 26(4): 511-515.
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Laplace变换法求解分数阶差分方程

Laplace Transform Method Applied to Solve Fractional Difference Equations

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