解决涉及可变分式导数的非线性问题的高效新技术

Shams A. Ahmed
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引用次数: 0

摘要

本文采用了一种高效的新技术,用于求解满足特定条件的非线性分式问题。这种技术被称为双顺应分式拉普拉斯-厄尔崎分解法(DCFLEDM)。这种方法结合了双拉普拉斯-厄尔崎变换法和阿多米安分解法。本文介绍了最近提出的变换的基本概念和研究结果。为了评估我们方法的准确性,我们提供了三个例子,并介绍了使用 DCLEDM 对这些方程进行的序列求解。结果表明,所提出的策略是利用保形导数解决非线性分数问题的一种非常有效、可靠和高效的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives
In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform method with the Adomian decomposition method. The fundamental concepts and findings of the recently suggested transformation are presented. For the purpose of assessing the accuracy of our approach, we provide three examples and introduce the series solutions of these equations using DCLEDM. The results show that the proposed strategy is a very effective, reliable, and efficient approach for addressing nonlinear fractional problems using the conformable derivative.
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