Deformable Laplace transform and its applications

IF 2.4 Q2 ENGINEERING, MECHANICAL

Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0278

Priyanka Ahuja, A. Ujlayan, Dinkar Sharma, Hari Pratap

引用次数: 0

Abstract

Abstract Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included. The Heaviside expansion formula and convolution theorem for deformable inverse Laplace transform are also discussed. Furthermore, some illustrative numerical examples are also discussed to validate the applicability of the proposed DLT and finally conclude the theory.

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可变形拉普拉斯变换及其应用

摘要近年来，对可变形导数及其性质进行了介绍。在这项工作中，我们更详细地研究了可变形拉普拉斯变换(DLT)的概念。此外，还包括了DLT的一些经典特性。讨论了可变形拉普拉斯逆变换的Heaviside展开公式和卷积定理。此外，还讨论了一些说明性的数值例子来验证所提出的DLT的适用性，并最终总结了该理论。

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

Nonlinear Engineering - Modeling and Application Multiple-

CiteScore

6.20

自引率

3.60%

发文量

审稿时长

44 weeks

期刊介绍： The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.