带有高阶卡普托分数导数的变动微积分

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-10-30 DOI:10.1007/s40065-023-00447-8

Rui A. C. Ferreira

引用次数: 0

摘要

在这项工作中，我们考虑了取决于高阶分数导数的分数变分问题。我们获得了此类问题的最优性条件，并介绍和讨论了一些实例。最后，我们提出了可能的研究方向。

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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Calculus of variations with higher order Caputo fractional derivatives

In this work, we consider fractional variational problems depending on higher order fractional derivatives. We obtain optimality conditions for such problems and we present and discuss some examples. We conclude with possible research directions.

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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.