{"title":"一些分数狄拉克系统","authors":"Yüksel Yalçinkaya","doi":"10.55730/1300-0098.3349","DOIUrl":null,"url":null,"abstract":": In this work, including αϵ p 0 , 1 q ; we examined the Dirac system in the frame which includes α order right and left Reimann-Liouville fractional integrals and derivatives with exponential kernels, and the Dirac system which includes α order right and left Caputo fractional integrals and derivatives with exponential kernels. Furthermore, we have given some definitions and properties for discrete exponential kernels and their associated fractional sums and fractional differences, and we have studied discrete fractional Dirac systems.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some fractional Dirac systems\",\"authors\":\"Yüksel Yalçinkaya\",\"doi\":\"10.55730/1300-0098.3349\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": In this work, including αϵ p 0 , 1 q ; we examined the Dirac system in the frame which includes α order right and left Reimann-Liouville fractional integrals and derivatives with exponential kernels, and the Dirac system which includes α order right and left Caputo fractional integrals and derivatives with exponential kernels. Furthermore, we have given some definitions and properties for discrete exponential kernels and their associated fractional sums and fractional differences, and we have studied discrete fractional Dirac systems.\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3349\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3349","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
: In this work, including αϵ p 0 , 1 q ; we examined the Dirac system in the frame which includes α order right and left Reimann-Liouville fractional integrals and derivatives with exponential kernels, and the Dirac system which includes α order right and left Caputo fractional integrals and derivatives with exponential kernels. Furthermore, we have given some definitions and properties for discrete exponential kernels and their associated fractional sums and fractional differences, and we have studied discrete fractional Dirac systems.
期刊介绍:
The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.