变系数prabhakar型线性微分方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-25 DOI:10.57262/die035-0910-581

A. Fernandez, J. Restrepo, D. Suragan

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引用次数: 4

摘要

求解了具有变系数的线性微分方程和具有Mittag-Le-soluer核的Prabhakar型算子。在每种情况下，唯一解都被明确地构造为包含Prabhakar分数积分组成的收敛的有限级数。我们还将这些结果推广到关于函数的Prabhakar算子。作为一个重要的说明性例子，我们考虑了常数系数的情况，并通过使用多元Mittag-Le-soluer函数以更封闭的形式给出了解。

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Prabhakar-type linear differential equations with variable coefficients

. Linear diﬀerential equations with variable coeﬃcients and Prabhakar-type operators featuring Mittag-Leﬄer kernels are solved. In each case, the unique solution is constructed explicitly as a convergent inﬁnite series involving compositions of Prabhakar fractional integrals. We also extend these results to Prabhakar operators with respect to functions. As an important illustrative example, we consider the case of constant coeﬃcients, and give the solutions in a more closed form by using multivariate Mittag-Leﬄer functions.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.