适合求解分数微分方程的积分变换

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-09-23 DOI:10.1007/s40065-023-00445-w

Chiara Boiti, Jonathan Franceschi

引用次数: 0

摘要

本文的目的是获得求解分数微分方程的适当工具，这些工具要足够灵活，以适应不同的目的。因此，我们要寻找一种非常通用的分数傅里叶变换，其相位函数可根据所要解决的问题进行适当选择。

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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Integral transforms suitable for solving fractional differential equations

The purpose of this article is to obtain appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. We thus look for a very general fractional Fourier transform with a phase function which can be appropriately chosen according to the problem you want to face.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.