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June 2020 Some new results for nonlinear fractional $h$-difference systems with “maxima”
Xiang Liu, Baoguo Jia, Peiguang Wang
Rocky Mountain J. Math. 50(3): 1073-1084 (June 2020). DOI: 10.1216/rmj.2020.50.1073

Abstract

We investigate the uniqueness and boundedness of solutions and finite-time stability for nonlinear fractional h-difference systems with “maxima” using the generalized fractional h-Gronwall inequality. We give explicit bounds on solutions for this fractional h-difference system with “maxima”. Finally, an example is given to illustrate one of our main results.

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The full text file was replaced on 6 August 2020 to correct minor typographical errors.

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Xiang Liu. Baoguo Jia. Peiguang Wang. "Some new results for nonlinear fractional $h$-difference systems with “maxima”." Rocky Mountain J. Math. 50 (3) 1073 - 1084, June 2020. https://doi.org/10.1216/rmj.2020.50.1073

Information

Received: 17 August 2019; Revised: 28 August 2019; Accepted: 28 August 2019; Published: June 2020
First available in Project Euclid: 29 July 2020

zbMATH: 07235597
MathSciNet: MR4132627
Digital Object Identifier: 10.1216/rmj.2020.50.1073

Subjects:
Primary: 39A12
Secondary: 39A70

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 3 • June 2020
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