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

Tuan Trung Nguyen, S. Koonprasert, P. Meesad
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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.
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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。
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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.
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