一个新的广义拉普拉斯变换及其在分数阶Bagley-Torvik和分数阶谐振动问题中的应用

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4099

E. Ata, İ. O. Kıymaz

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引用次数: 0

摘要

．本文定义了一种新的广义拉普拉斯变换，并给出了它的若干性质。利用新变换，得到了分数阶Bagley-Torvik和分数阶谐振动问题的解，作为应用。另外，在单独的表格中给出了一些初等函数的变换以及新变换与其他广义拉普拉斯变换的关系。

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A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems

. In this paper, a new generalized Laplace transform is deﬁned and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.