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Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application |
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| Authors: | Churong Chen Baoguo Jia Lynn Erbe Allan Peterson |
| Affiliation: | 1. School of Mathematics, Sun Yat-Sen University, Guangzhou, People's Republic of China;2. Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, USA |
| Abstract: | ABSTRACTWe 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: | Fractional calculus Gronwall's inequality Nabla fractional difference equations |