Asymptotic stability of fractional difference equations with bounded time delays

By Mei Wang, Baoguo Jia, Feifei Du, Xianghu Liu. 2020

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Abstract In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/a2f8c462919835f9fa304dbb9b72f79805b00386