LINEAR SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS

被引：114

作者：

Atici, Ferhan M. ^{[1
]}

Eloe, Paul W. ^{[2
]}

机构：

[1] Western Kentucky Univ, Dept Math & Comp Sci, Bowling Green, KY 42101 USA

[2] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2011年 / 41卷 / 02期

关键词：

Discrete fractional calculus; discrete Mittag-Leffler function;

D O I：

10.1216/RMJ-2011-41-2-353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we shall consider a linear system of fractional nabla difference equations with constant coefficients. We shall construct the fundamental matrix for the homogeneous system and the causal Green's function for the nonhomogeneous system. We employ transform methods and series methods and we illustrate analogies with classical first order differential or difference equations. We shall close the paper with an asymptotic result that follows from the analysis of a half-order nabla difference equation.

引用

页码：353 / 370

页数：18