The Laplace transform in discrete fractional calculus

被引：95

作者：

Holm, Michael T. ^{[1
]}

机构：

[1] Univ Nebraska, Lincoln, NE 68588 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Discrete fractional calculus; Laplace transform; Fractional initial value problem; Taylor monomial; Convolution; Exponential order;

D O I：

10.1016/j.camwa.2011.04.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop properties of the Laplace Transform in a discrete, fractional calculus setting, giving a precise treatment to convergence along the way. The end goal is to apply the Laplace Transform Method to solve a fractional initial value problem. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1591 / 1601

页数：11