Discrete convolution operators and equations

IF 2.9 2区数学 Q1 MATHEMATICS Fractional Calculus and Applied Analysis Pub Date : 2024-02-27 DOI:10.1007/s13540-024-00253-9

引用次数: 0

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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离散卷积算子和方程

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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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.