Laplace变换法求解分数阶差分方程

李晓艳, 项江如, 吴亚运

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

数学季刊 >

2015 , Vol. 30 >Issue 1: 121 - 129

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.012

Laplace变换法求解分数阶差分方程

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School of Mathematical Science, Anhui University

LI Xiao-yan(1975-), female, native of Xiaoxian, Anhui, an associate professor of Anhui University, engages in fractional differential and difference equations.

收稿日期: 2013-04-01

网络出版日期: 2020-11-24

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)；

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Laplace Transform Method Applied to Solve Fractional Difference Equations

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School of Mathematical Science, Anhui University

LI Xiao-yan(1975-), female, native of Xiaoxian, Anhui, an associate professor of Anhui University, engages in fractional differential and difference equations.

Received date: 2013-04-01

Online published: 2020-11-24

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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

本文引用格式

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

Abstract

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

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