利用模糊阿多米分解法求解若干模糊微分偏微分方程

IF 1.4 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Advances in Fuzzy Systems Pub Date : 2024-01-05 DOI:10.1155/2024/8794634

Nagwa A. Saeed, D. Pachpatte

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引用次数: 0

摘要

在本研究中，我们利用模糊阿多米分解技术研究了卡普托导数下非线性模糊分数偏微分方程的数值解。该技术被用作获得各类分数微分方程近似模糊解的替代方法，同时还研究了模糊解的一些新的存在性和唯一性结果。我们给出了一些例子来证明所提技术的有效性。我们以图表形式展示了不同分数阶值和不确定性 γ∈0,1 的数值结果。

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Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations

In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various types of fractional differential equations and also investigated some new existence and uniqueness results of fuzzy solutions. Some examples are given to support the effectiveness of the proposed technique. We present the numerical results in graphical form for different values of fractional order and uncertainty γ∈0,1.

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来源期刊

Advances in Fuzzy Systems MATHEMATICS, APPLIED-

CiteScore

4.10

自引率

7.70%

发文量

审稿时长

21 weeks

期刊介绍： Advances in Fuzzy Systems is an international journal which aims to provide a forum for original research articles in the theory and applications of fuzzy subsets and systems. The goal of the journal is to help promote the advances in the development and practice of fuzzy system technologies in the areas of engineering, management, medical, economic, environmental, and societal problems. Advances in Fuzzy Systems is intended to provide a rapid communication of fully refereed papers through the open access publication model, which will enable the journal to reach a far greater audience than traditional subscription-based journals.