Nabla分数差分算子的一个比较结果

Foundations Pub Date : 2023-04-12 DOI:10.3390/foundations3020016

J. Jonnalagadda

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引用次数: 0

摘要

建立了nabla分数阶差分算子∇ρ(a)ν， 1<ν<2的比较原理。为此，我们考虑了具有分离边界条件的两点纳布拉分数边值问题，并导出了相应的格林函数。我证明了这个格林函数满足一个正性质。然后，对于所考虑的边值问题，我推导出一个相对一般的比较结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Comparison Result for the Nabla Fractional Difference Operator

This article establishes a comparison principle for the nabla fractional difference operator ∇ρ(a)ν, 1<ν<2. For this purpose, we consider a two-point nabla fractional boundary value problem with separated boundary conditions and derive the corresponding Green’s function. I prove that this Green’s function satisfies a positivity property. Then, I deduce a relatively general comparison result for the considered boundary value problem.

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Foundations

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