Publication: Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application
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Date
2019
Authors
Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
Journal Title
Journal ISSN
Volume Title
Publisher
TAYLOR & FRANCIS LTD
Abstract
We study the nabla fractional difference system with retarded argument. There are two major ingredients. A Gronwall's inequality for the nabla case is given. This allows us to evaluate the solution of nabla fractional difference system. We shall illustrate the validity of our results by means of examples.
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Keywords
Fractional calculus; Gronwall's inequality; Nabla fractional difference equations, FINITE-TIME STABILITY; SINGULAR SYSTEMS