Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:2
Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Prob...

Shehu Transform of Hilfer-Prabhakar Fractional Derivatives and Applications on some Cauchy Type Problems

Authors : Rachid BELGACEM, Ahmed BOKHARİ, Boualem SADAOUİ

Pages : 203-214

Doi:10.31197/atnaa.828468

View : 46 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

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-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 insert ignore into journalissuearticles values(FEL); equation, at which Hilfer-Prabhakar fractional derivative of fractional order and its regularized version are involved.
Keywords : HilferPrabhakar derivatives, Prabhakar integrals, MittagLeffler functions, Shehu transform

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.

Index of Academic Documents
İzmir Academy Association
CopyRight © 2023-2026