Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

Mei Wang, Baoguo Jia, Churong Chen, Xiaojuan Zhu and Feifei Du

Applied Mathematics and Computation, 2020, vol. 376, issue C

Abstract: In this paper, the discrete fractional Bihari inequality is developed. Based on this inequality, uniqueness theorem of solutions of fractional difference equations with non-Lipschitz nonlinearities is derived. In addition, the effectiveness of proposed results is illustrated by a nonlinear numerical example.

Keywords: Discrete fractional Bihari inequality; Uniqueness; Fractional difference equation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320300874

DOI: 10.1016/j.amc.2020.125118

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