A comparative study to solve fractional initial value problems in discrete domain

IF 1.5 Q2 ENGINEERING, MULTIDISCIPLINARY Open Engineering Pub Date : 2023-01-01 DOI:10.1515/eng-2022-0480
Alaa Mohsin Abed, Hosein Jafari, Mohammed Sahib Mechee
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引用次数: 0

Abstract

Abstract In this article, we used some methods to solve Riemann-type fractional difference equations. Firstly, we use a method that is a composite method based on the successive approximation method with the Sumudu transform. Secondly, we use a method that is a composite method that consists of the homotopic perturbation method with the Sumudu transform. It was found that the results obtained from these combined methods are identical when compared. We also provided theories and illustrative examples to support the research findings.
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离散域分数阶初值问题的比较研究
摘要本文采用了几种方法求解riemann型分数阶差分方程。首先,我们采用了一种基于连续逼近法和Sumudu变换的复合方法。其次,我们采用了一种由同伦摄动法和Sumudu变换组成的复合方法。结果表明,这几种方法所得到的结果是一致的。本文还提供了理论和实例来支持研究结果。
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
Open Engineering
Open Engineering ENGINEERING, MULTIDISCIPLINARY-
CiteScore
3.90
自引率
0.00%
发文量
52
审稿时长
30 weeks
期刊介绍: Open Engineering publishes research results of wide interest in emerging interdisciplinary and traditional engineering fields, including: electrical and computer engineering, civil and environmental engineering, mechanical and aerospace engineering, material science and engineering. The journal is designed to facilitate the exchange of innovative and interdisciplinary ideas between researchers from different countries. Open Engineering is a peer-reviewed, English language journal. Researchers from non-English speaking regions are provided with free language correction by scientists who are native speakers. Additionally, each published article is widely promoted to researchers working in the same field.
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