{"title":"分数阶积分和导数算子的推广及其性质研究","authors":"M. Momenzadeh","doi":"10.1063/1.5136135","DOIUrl":null,"url":null,"abstract":"In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"220 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extension of q–fractional integral and derivative operator and study of their properties\",\"authors\":\"M. Momenzadeh\",\"doi\":\"10.1063/1.5136135\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.\",\"PeriodicalId\":175596,\"journal\":{\"name\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"volume\":\"220 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5136135\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5136135","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extension of q–fractional integral and derivative operator and study of their properties
In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.
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