Alaa Mohsin Abed, Hosein Jafari, Mohammed Sahib Mechee
{"title":"离散域分数阶初值问题的比较研究","authors":"Alaa Mohsin Abed, Hosein Jafari, Mohammed Sahib Mechee","doi":"10.1515/eng-2022-0480","DOIUrl":null,"url":null,"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.","PeriodicalId":19512,"journal":{"name":"Open Engineering","volume":"84 1","pages":"0"},"PeriodicalIF":1.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A comparative study to solve fractional initial value problems in discrete domain\",\"authors\":\"Alaa Mohsin Abed, Hosein Jafari, Mohammed Sahib Mechee\",\"doi\":\"10.1515/eng-2022-0480\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":19512,\"journal\":{\"name\":\"Open Engineering\",\"volume\":\"84 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/eng-2022-0480\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/eng-2022-0480","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
A comparative study to solve fractional initial value problems in discrete domain
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.
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.