关于caputo型分数阶积分-微分包涵

Q4 Mathematics

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Pub Date : 2021-01-01 DOI:10.56082/annalsarscimath.2021.1-2.166

A. Cernea

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引用次数: 1

摘要

研究了一类由Caputo型分数阶导数定义的分数阶积分微分的柯西问题。证明了解集的弧连通性，并证明了所考虑问题的解所对应的选择集是给定区间上可积函数空间的缩回。

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 CAPUTO TYPE FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSION

A Cauchy problem associated to a fractional integro-diﬀerential de-ﬁned by a Caputo type fractional derivative is studied. It is proved thearcwise connectedness of the solution set and that the set of selectionscorresponding to the solutions of the problem considered is a retractof the space of integrable functions on a given interval.

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来源期刊

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Mathematics-Mathematics (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.