基于分数阶微积分的Lane Emden型新问题

IF 1.1 Q1 MATHEMATICS JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1231

A. Ndiaye, Y. Gouari, Z. Dahmani

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引用次数: 0

摘要

研究了一类Lane Emden型非线性奇异微分方程。这个问题使用了卡普托导数和黎曼-刘维尔积分。首先证明了一个存在唯一性结果。另一个主要结果得到确立。最后，通过两个算例的讨论说明了主要结果的适用性。本文与同一作者已发表的其他论文有一定的联系。

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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New problem of Lane Emden type via fractional calculus

We study a nonlinear singular differential equation of Lane Emden type. The problem used the Caputo derivatives and Riemann-Liouville integrals. We first prove an existence and uniqueness result. Another main result is established. At the end, the discussion of two examples to show the applicability of the main results is given. This paper has some relationship with some other papers that have already been published by the same authors.

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.