Fareeha Transform Performance In Solving Fractional Differential Telegraph Equations Combining Adomian Decomposition Method

Q3 Mathematics
Tuan Trung Nguyen, S. Koonprasert, P. Meesad
{"title":"Fareeha Transform Performance In Solving Fractional Differential Telegraph Equations Combining Adomian Decomposition Method","authors":"Tuan Trung Nguyen, S. Koonprasert, P. Meesad","doi":"10.37394/23203.2024.19.9","DOIUrl":null,"url":null,"abstract":"Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Caputo derivative sense combining the Adomian Decomposition Method to seek the solutions of fractional differential telegraph equations. The results of practical utilization have also been significantly shown successful in solving fractional telegraph differential equations.","PeriodicalId":39422,"journal":{"name":"WSEAS Transactions on Systems and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23203.2024.19.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0

Abstract

Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Caputo derivative sense combining the Adomian Decomposition Method to seek the solutions of fractional differential telegraph equations. The results of practical utilization have also been significantly shown successful in solving fractional telegraph differential equations.
结合阿多米安分解法求解分式微分方程的 Fareeha 变换性能
变换在微分方程的求解中发挥了重要作用,并被广泛应用于科学领域。基于包含更多变换信息,法里哈变换在数据压缩中得到了有效应用。本文结合 Adomian 分解法,在 Caputo 导数意义上对分数 Fareeha 变换进行了扩展,以寻求分数微分电报方程的解。实际应用结果表明,该方法在求解分数电报微分方程方面也取得了显著成效。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
WSEAS Transactions on Systems and Control
WSEAS Transactions on Systems and Control Mathematics-Control and Optimization
CiteScore
1.80
自引率
0.00%
发文量
49
期刊介绍: WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信