Extension of the Tricomi problem for a third-order loaded parabolic-hyperbolic equation

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2025-03-08 DOI:10.1007/s40065-025-00506-2

Umida Baltaeva, Marjona Sh. Kosimova, Hamrobek Hayitbayev

引用次数: 0

Abstract

In this paper, we investigate the unique solvability of a generalized Tricomi problem with an integral condition for a loaded equation involving a fractional operator. By analyzing the problem for a third-order equation with a telegraph operator, we extend the results to a generalized operator with small parameters. Furthermore, the integral condition in the parabolic region enables the generalization of local problems associated with second- and third-order equations.

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一类三阶负载抛物-双曲型方程Tricomi问题的推广

本文研究了一类含分数算子的加载方程具有积分条件的广义Tricomi问题的唯一可解性。通过分析带电报算子的三阶方程问题，将所得结果推广到具有小参数的广义算子。此外，抛物线区域的积分条件可以推广二阶和三阶方程的局部问题。

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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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.