Existence and Uniqueness Theorem of the Solution to a Class of Nonlinear Nabla Fractional Difference System with a Time Delay

Author:

Chen Churong,Jia Baoguo,Liu Xiang,Erbe Lynn

Funder

National Natural Science Foundation of China

Guangdong Province Key Laboratory of Computational Science

International Program for Ph.D. Candidates, Sun Yat-Sen University

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. Atici, F.M., Eloe, P.W.: Initial value problems in discrete fractional calculus. Proc. Am. Math. Soc. (3) 137, 981–989 (2009)

2. Atici, F.M., Eloe, P.W.: Linear systems of fractional nabla difference equations. Rocky Mt. J. Math. 41(2011), 353–370 (2011)

3. Baleanu, D., Wu, G.C., Bai, Y.R., Chen, F.L.: Stability analysis of Caputo-like discrete fractional systems. Commun. Nonlinear Sci. Numer. Simul. 48, 520–530 (2017)

4. Čermák, J., Győri, I., Nechvátal, L.: On explicit stability conditions for a linear fractional difference system. Fract. Calc. Appl. Anal. (3) 18, 651–672 (2015)

5. Chen, C., Raziye, M., Jia, B. G., Erbe, L., Peterson, A. C.: Gronwall’s inequality for a Nabla fractional difference system with a retarded argument and an application (Submitted)

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