离散卷积算子和方程

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-02-27 DOI:10.1007/s13540-024-00253-9

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引用次数: 0

摘要

摘要在这项工作中，我们介绍了离散卷积算子，并研究了它们的最基本性质。然后，我们求解取决于这些算子的线性差分方程。本文所提出的理论特别概括了离散分数微积分和分数差分方程的理论。为此，我们利用了所谓的 Sonine 对核。

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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Discrete convolution operators and equations

Abstract

In this work we introduce discrete convolution operators and study their most basic properties. We then solve linear difference equations depending on such operators. The theory herein developed generalizes, in particular, the theory of discrete fractional calculus and fractional difference equations. To that matter we make use of the so-called Sonine pairs of kernels.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464