Multi-term linear fractional nabla difference equations with constant coefficients

Author(s)

Paul W. Eloe, University of DaytonFollow
Zi Ouyang, University of Massachusetts Lowell

Document Type

Article

Publication Date

2015

Publication Source

International Journal of Difference Equations

Abstract

We shall consider a linear fractional nabla (backward) fractional difference equation of Riemann–Liouville type with constant coefficients. We apply a transform method to construct solutions. Sufficient conditions in terms of the coefficients are given so that the solutions are absolutely convergent. The method is known for two-term fractional difference equations; the method is new for fractional equations with three or more terms. As a corollary, we exhibit new summation representations of a discrete exponential function, at, t = 0; 1; : : : .

Inclusive pages

91-106

ISBN/ISSN

0973-6069

Document Version

Published Version

Comments

This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.

Volume

10

Issue

1

Peer Reviewed

yes

eCommons Citation

Eloe, Paul W. and Ouyang, Zi, "Multi-term linear fractional nabla difference equations with constant coefficients" (2015). Mathematics Faculty Publications. 111.
https://ecommons.udayton.edu/mth_fac_pub/111