Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems
In this paper, we are interested on the Shehu transform of both Prabhakar and Hilfer-Prabhakar fractional derivative and its regularized version. These results are presented in terms of Mittag-Leffler type function and also utilized to obtain the solutions of some Cauchy type problems, such as Spa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2021-03-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1405797 |
| Summary: | In this paper, we are interested on the Shehu transform of both Prabhakar and Hilfer-Prabhakar fractional
derivative and its regularized version. These results are presented in terms of Mittag-Leffler type function
and also utilized to obtain the solutions of some Cauchy type problems, such as Space-time Fractional
Advection-Dispersion equation and Generalized fractional Free Electron Laser (FEL) equation, at which
Hilfer-Prabhakar fractional derivative of fractional order and its regularized version are involved. |
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| ISSN: | 2587-2648 |