{"title":"使用Marichev-Saigo-Maeda算子的广义p-k-Mittag-Leffler函数的分数阶演算","authors":"M. Kamarujjama, N.U. Khan, Owais Khan","doi":"10.1016/j.ajmsc.2019.05.003","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results.</p></div>","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":"25 2","pages":"Pages 156-168"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ajmsc.2019.05.003","citationCount":"5","resultStr":"{\"title\":\"Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators\",\"authors\":\"M. Kamarujjama, N.U. Khan, Owais Khan\",\"doi\":\"10.1016/j.ajmsc.2019.05.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results.</p></div>\",\"PeriodicalId\":36840,\"journal\":{\"name\":\"Arab Journal of Mathematical Sciences\",\"volume\":\"25 2\",\"pages\":\"Pages 156-168\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.ajmsc.2019.05.003\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arab Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1319516618301117\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arab Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1319516618301117","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results.
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