Laplace Transform Method Applied to Solve Fractional Difference Equations

LI Xiao-yan, XIANG Jiang-ru, WU Ya-yun

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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)；

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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

Cite this article

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

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