Year: 2021
Author: Fanfan Li, Zhenlai Han
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 105–113
Abstract
In this paper, we initiate the oscillation theory for $h$-fractional
difference equations of the form
where $_a∆^α_h$ is the Riemann-Liouville $h$-fractional difference of order $α$, $\mathbb{T}^a_h :$={$a + kh, k ∈ \mathbb{Z}^+ $∪{0}}, and $a ≥ 0$, $h > 0$. We study the oscillation of $h$-fractional difference equations with Riemann-Liouville derivative, and obtain
some sufficient conditions for oscillation of every solution. Finally, we give an
example to illustrate our main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.105
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 105–113
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: $h$-deference equations Oscillation Fractional.