Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability

A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function. From the Cauchy problem of the nth-order difference equation, new fractional-order sum and differences are presented. The propositions betw...

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Bibliographic Details
Published in:Nonlinear Analysis
Main Authors: Guang Yang, Guo-Cheng Wu, Hui Fu
Format: Article
Language:English
Published: Vilnius University Press 2023-11-01
Subjects:
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/33550