On the solutions of certain fractional kinetic equations

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Fractional kinetic equations have gained importance during the last decade due to their occurrence in certain problems in science and engineering. This article gives a brief survey of various fractional kinetic equations solved by a number of authors. We also present a new method for solving the fractional kinetic equations that is different from that using Laplace transform. The results presented are in compact forms suitable for numerical computation. Some figures are given, to show the behaviour of the derived solutions.

论文关键词:Kinetic equation,Transforms,Fractional operators,Mittag-Leffler function

论文评审过程:Available online 9 October 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.10.005