{"title":"论涉及米塔格-勒夫勒函数 q-analogue 的分数 q-integral 算子","authors":"Mulugeta Dawud Ali, D.L. Suthar","doi":"10.1515/anly-2023-0107","DOIUrl":null,"url":null,"abstract":"\n This paper aims to derive the images of the product of the generalized q-analogue of Mittag-Leffler functions and the basic binomial function, under the fractional q-integral operators of Kober and Weyl type. The derived findings are of a general nature and include, as specific examples, the Weyl q-integral operator, the q-derivative operators, and the Riemann–Liouville q-integral operator.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the fractional q-integral operators involving q-analogue of Mittag-Leffler function\",\"authors\":\"Mulugeta Dawud Ali, D.L. Suthar\",\"doi\":\"10.1515/anly-2023-0107\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n This paper aims to derive the images of the product of the generalized q-analogue of Mittag-Leffler functions and the basic binomial function, under the fractional q-integral operators of Kober and Weyl type. The derived findings are of a general nature and include, as specific examples, the Weyl q-integral operator, the q-derivative operators, and the Riemann–Liouville q-integral operator.\",\"PeriodicalId\":47773,\"journal\":{\"name\":\"ANALYSIS\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ANALYSIS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2023-0107\",\"RegionNum\":1,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"0\",\"JCRName\":\"PHILOSOPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ANALYSIS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2023-0107","RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
On the fractional q-integral operators involving q-analogue of Mittag-Leffler function
This paper aims to derive the images of the product of the generalized q-analogue of Mittag-Leffler functions and the basic binomial function, under the fractional q-integral operators of Kober and Weyl type. The derived findings are of a general nature and include, as specific examples, the Weyl q-integral operator, the q-derivative operators, and the Riemann–Liouville q-integral operator.
期刊介绍:
Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.