Hilfer-Prabhakar分数阶导数的Sumudu变换及其应用
Sumudu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications
摘要：
本文给出了Hilfer-Prabhakar分数阶导数的Sumudu变换和Hilfer-Prabhakar分数阶导数的正则化形式。利用这些结果，得到了它们之间涉及Mittag-Leffler函数的关系.这些结果也被用来解决一些物理问题。本文利用Fourier变换和Sumudu变换技术，得到了包含Hilfer-Prabhakar分数阶导数和正则化的Hilfer-Prabhakar分数阶导数问题的解。
英文摘要：
In this paper the Sumudu transforms of Hilfer-Prabhakar fractional derivative and regularized version of Hilfer-Prabhakar fractional derivative are obtained. These results are used to obtain relation between them involving Mittag- Leffler function. Also these results are applied to solve some problems in physics. Here the solutions of problems involving Hilfer-Prabhakar fractional derivative and regularized version of Hilfer-Prabhakar fractional derivative are obtained by using Fourier and Sumudu transform techniques.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
