{"title":"On the solution of fractional space-time nonlinear differential equations","authors":"M. A. Abdou","doi":"10.0000/IJAMC.2013.5.3.582","DOIUrl":null,"url":null,"abstract":"The fractional Riccati equation with Riemann-Liouville derivatives has been successively used to find the explicit solutions of the space-time of nonlinear fractional partial differential equations.Three models of special interest with fractional space-time derivative of order $\\alpha$,$0<\\alpha<1$ are considered. The three models are tested to illustrate the pertinent feature of the proposed algorithm.This approach can also be applied to other nonlinear fractional differential equations arising in mathematical physics.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.0000/IJAMC.2013.5.3.582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The fractional Riccati equation with Riemann-Liouville derivatives has been successively used to find the explicit solutions of the space-time of nonlinear fractional partial differential equations.Three models of special interest with fractional space-time derivative of order $\alpha$,$0<\alpha<1$ are considered. The three models are tested to illustrate the pertinent feature of the proposed algorithm.This approach can also be applied to other nonlinear fractional differential equations arising in mathematical physics.