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arXiv · 1608.08017

Sumudu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications

S. K. Panchal·Amol D. Khandagale·Pravinkumar V. Dole
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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.

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S. K. Panchal, Amol D. Khandagale, Pravinkumar V. Dole. 2016-08-29. Sumudu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications. https://arxiv.org/abs/1608.08017

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