通过米库辛斯基运算法的多期分数贝特曼方程数学扩展的闭式解法

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY The European Physical Journal Plus Pub Date : 2024-11-04 DOI:10.1140/epjp/s13360-024-05772-1

Marc Jornet

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引用次数: 0

摘要

对于由黎曼-刘维尔导数组成的下三角线性分数系统，我们用多元米塔格-勒夫勒函数给出了闭式解。为此，我们使用了 Mikusiński 代数微积分，同时求解了某个差分方程。该系统的灵感来自核物理中多阶分数贝特曼模型的扩展。因此，本文有助于物理学中的运算分析理论。

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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Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method

We give a closed-form solution, in terms of multivariate Mittag–Leffler functions, for a lower triangular linear fractional system consisting of Riemann–Liouville derivatives. For such a task, we use Mikusiński algebraic calculus, while solving a certain difference equation. The system is motivated by an extension of the multi-order fractional Bateman model in nuclear physics. Thus, the paper contributes to the theory of operational analysis in physics.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.