{"title":"利用(Sadiq-Emad-Eman)变换求解Abel积分方程","authors":"Eman A. Mansour, Emad A. Kuffi, Sadiq A. Mehdi","doi":"10.1109/ICCITM53167.2021.9677685","DOIUrl":null,"url":null,"abstract":"In this paper, the exact solution of Abel's integral equation is found by using new integral transform named “SEE (Sadiq-Emad-Eman) integral”. The capability of SEE integral transform in solving Abel's integral equation is demonstrated and proven by applying the transform on some Abel's practical applications, in which the efficiency and simplicity of the transform in finding the exact solution of these problems has been proven.","PeriodicalId":406104,"journal":{"name":"2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solving Abel's Integral Equation Using (Sadiq-Emad-Eman) Transform\",\"authors\":\"Eman A. Mansour, Emad A. Kuffi, Sadiq A. Mehdi\",\"doi\":\"10.1109/ICCITM53167.2021.9677685\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the exact solution of Abel's integral equation is found by using new integral transform named “SEE (Sadiq-Emad-Eman) integral”. The capability of SEE integral transform in solving Abel's integral equation is demonstrated and proven by applying the transform on some Abel's practical applications, in which the efficiency and simplicity of the transform in finding the exact solution of these problems has been proven.\",\"PeriodicalId\":406104,\"journal\":{\"name\":\"2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM)\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCITM53167.2021.9677685\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCITM53167.2021.9677685","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving Abel's Integral Equation Using (Sadiq-Emad-Eman) Transform
In this paper, the exact solution of Abel's integral equation is found by using new integral transform named “SEE (Sadiq-Emad-Eman) integral”. The capability of SEE integral transform in solving Abel's integral equation is demonstrated and proven by applying the transform on some Abel's practical applications, in which the efficiency and simplicity of the transform in finding the exact solution of these problems has been proven.
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