How to empower Grünwald–Letnikov fractional difference equations with available initial condition?

In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time. For example, the solution x(k) of equation aG∇kαx(k) = f(x(k)),  k > a + 1, cannot be calculated with initial condition x(a). First, the initial condition indepen...

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Bibliographic Details
Main Authors: Yiheng Wei, Jinde Cao, Chuang Li, Yangquan Chen
Format: Article
Language:English
Published: Vilnius University Press 2022-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/26623