Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems
| dc.contributor.author | Sadaoui Boualem | |
| dc.contributor.author | Bokhari Ahmed | |
| dc.contributor.author | Belgacem Rachid | |
| dc.date.accessioned | 2021-07-11T10:01:32Z | |
| dc.date.available | 2021-07-11T10:01:32Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | 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-Le er 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. | en_US |
| dc.identifier.uri | https://depot.univ-msila.dz/handle/123456789/24810 | |
| dc.publisher | Université de M'sila | en_US |
| dc.subject | Hilfer Prabhakar derivatives, Prabhakar integrals, Mittag Le er functions, Shehu transform 2010 MSC: 44A35, 26A33, 42B10, 33E12. | en_US |
| dc.title | Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems | en_US |
| dc.type | Article | en_US |