拉普拉斯变换方法中出现的多元Mittag-Leffler函数的一种变体

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-08-18 DOI:10.1080/10652469.2022.2111420

A. Abilassan, J. Restrepo, D. Suragan

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引用次数: 4

摘要

利用拉普拉斯变换方法，我们重新讨论了多元Mittag-Leffler函数作为构造一类常系数分数阶微分方程解的有效工具。为了支持我们的结果，我们讨论了几个与经典分数阶微分算子相关的特殊情况。该技术不仅局限于分数阶导数算子，而且可以应用于一般常系数微分方程，包括高阶常微分方程。

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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On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method

By using the Laplace transform method, we revisit the multivariate Mittag-Leffler function as an effective tool to construct a solution for some classes of fractional differential equations with constant coefficients. To support our results, we discuss several particular cases related to classical fractional differential operators. The techniques are not only restricted to fractional derivative operators but also can be applied to general constant coefficient differential equations, including high-order ordinary differential equations.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.