Aarti Pathak, Rajshreemishra RAJSHREEMISHRA2,, D. K. Jain, Farooq Ahmad, Peer Javaid Ahmad
{"title":"INTEGRAL TRANSFORM AND FRACTIONAL KINETIC EQUATION","authors":"Aarti Pathak, Rajshreemishra RAJSHREEMISHRA2,, D. K. Jain, Farooq Ahmad, Peer Javaid Ahmad","doi":"10.22159/ijet.2022.v10i1.46890","DOIUrl":null,"url":null,"abstract":"With the help of the Laplace and Fourier transforms, we arrive at the fractional kinetic equation's solution in this paper. Their respective solutions are given in terms of the Fox's H-function and the Mittag-Leffler function, which are also known as the generalisations and the Saigo-Maeda operator-based solution of the generalised fractional kinetic equation. The paper's findings have applications in a variety of engineering, astronomy, and physical scientific fields.","PeriodicalId":101709,"journal":{"name":"Innovare Journal of Engineering and Technology","volume":"925 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Innovare Journal of Engineering and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22159/ijet.2022.v10i1.46890","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
With the help of the Laplace and Fourier transforms, we arrive at the fractional kinetic equation's solution in this paper. Their respective solutions are given in terms of the Fox's H-function and the Mittag-Leffler function, which are also known as the generalisations and the Saigo-Maeda operator-based solution of the generalised fractional kinetic equation. The paper's findings have applications in a variety of engineering, astronomy, and physical scientific fields.