一类含p-Laplacian算子的混合型分数阶微分方程的存在唯一性和Ulam稳定性结果

IF 0.9 Q2 MATHEMATICS Arabian Journal of Mathematics Pub Date : 2023-06-27 DOI:10.1007/s40065-023-00436-x

E. Kenef, I. Merzoug, A. Guezane-Lakoud

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引用次数: 0

摘要

在本文中，我们研究了一个包含左Riemann-Liouville和右Caputo分数导数的非线性分数p-Laplacian边值问题，该问题具有初始和积分条件。得到了关于模型解的存在唯一性以及解的Ulam稳定性的一些新结果。提供了两个例子来说明我们的结果的适用性。

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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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator

In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives with initial and integral conditions. Some new results on the existence and uniqueness of a solution for the model are obtained as well as the Ulam stability of the solutions. Two examples are provided to show the applicability of our results.

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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.