{"title":"包含积分变换的分数阶动力学方程","authors":"A. Bhat, Reeta Chauhan","doi":"10.2139/ssrn.3328161","DOIUrl":null,"url":null,"abstract":"In this paper, we derive the solution of fractional kinetic equation with Laplace and Fourier transforms. Their respective solutions are given in terms of Mittag-Leffler function and their generalization, which can also be represented as Fox’s H-function. The result proved in this paper is application to wide range of engineering, astrophysics and physical science.","PeriodicalId":443021,"journal":{"name":"Engineering Educator: Courses","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Fractional Kinetic Equation Involving Integral Transform\",\"authors\":\"A. Bhat, Reeta Chauhan\",\"doi\":\"10.2139/ssrn.3328161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we derive the solution of fractional kinetic equation with Laplace and Fourier transforms. Their respective solutions are given in terms of Mittag-Leffler function and their generalization, which can also be represented as Fox’s H-function. The result proved in this paper is application to wide range of engineering, astrophysics and physical science.\",\"PeriodicalId\":443021,\"journal\":{\"name\":\"Engineering Educator: Courses\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Educator: Courses\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3328161\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Educator: Courses","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3328161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional Kinetic Equation Involving Integral Transform
In this paper, we derive the solution of fractional kinetic equation with Laplace and Fourier transforms. Their respective solutions are given in terms of Mittag-Leffler function and their generalization, which can also be represented as Fox’s H-function. The result proved in this paper is application to wide range of engineering, astrophysics and physical science.
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