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Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application

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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… Click to show full abstract

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.

Keywords: difference system; difference; fractional difference; nabla fractional; system retarded

Journal Title: Journal of Difference Equations and Applications
Year Published: 2019

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