{"title":"分数算子的有理逼近——比较研究","authors":"M. Khanra, J. Pal, K. Biswas","doi":"10.1109/ICPCES.2010.5698677","DOIUrl":null,"url":null,"abstract":"A comparative study of some existing methods for rational approximation of fractional operator (fractional Laplace operator) is presented. The various methods along with their advantages and limitations are described in this paper. Simulation results are shown for different orders of the fractional operator.","PeriodicalId":439893,"journal":{"name":"2010 International Conference on Power, Control and Embedded Systems","volume":"113 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Rational approximation of fractional operator — A comparative study\",\"authors\":\"M. Khanra, J. Pal, K. Biswas\",\"doi\":\"10.1109/ICPCES.2010.5698677\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A comparative study of some existing methods for rational approximation of fractional operator (fractional Laplace operator) is presented. The various methods along with their advantages and limitations are described in this paper. Simulation results are shown for different orders of the fractional operator.\",\"PeriodicalId\":439893,\"journal\":{\"name\":\"2010 International Conference on Power, Control and Embedded Systems\",\"volume\":\"113 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Power, Control and Embedded Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPCES.2010.5698677\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Power, Control and Embedded Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPCES.2010.5698677","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rational approximation of fractional operator — A comparative study
A comparative study of some existing methods for rational approximation of fractional operator (fractional Laplace operator) is presented. The various methods along with their advantages and limitations are described in this paper. Simulation results are shown for different orders of the fractional operator.