Sumudu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications
Classical Analysis and ODEs
2016-09-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1608.08017,
title = {Sumudu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications},
author = {S. K. Panchal and Amol D. Khandagale and Pravinkumar V. Dole},
journal= {arXiv preprint arXiv:1608.08017},
year = {2016}
}
Comments
10 pages