{"title":"某些涉及广义k-贝塞尔函数的分数阶动力学方程","authors":"Gurmej Singh , Praveen Agarwal , Mehar Chand , Shilpi Jain","doi":"10.1016/j.trmi.2018.03.001","DOIUrl":null,"url":null,"abstract":"<div><p>We develop a new and further generalized form of the fractional kinetic equation involving generalized <span><math><mi>k</mi></math></span>-Bessel function. The manifold generality of the generalized <span><math><mi>k</mi></math></span>-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 3","pages":"Pages 559-570"},"PeriodicalIF":0.3000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.03.001","citationCount":"9","resultStr":"{\"title\":\"Certain fractional kinetic equations involving generalized k-Bessel function\",\"authors\":\"Gurmej Singh , Praveen Agarwal , Mehar Chand , Shilpi Jain\",\"doi\":\"10.1016/j.trmi.2018.03.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We develop a new and further generalized form of the fractional kinetic equation involving generalized <span><math><mi>k</mi></math></span>-Bessel function. The manifold generality of the generalized <span><math><mi>k</mi></math></span>-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":\"172 3\",\"pages\":\"Pages 559-570\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2018.03.001\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2346809217300557\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809217300557","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Certain fractional kinetic equations involving generalized k-Bessel function
We develop a new and further generalized form of the fractional kinetic equation involving generalized -Bessel function. The manifold generality of the generalized -Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.