On the Elzaki transform and its applications in fractional free electron laser equation-Reference-Cited by-同舟云学术

On the Elzaki transform and its applications in fractional free electron laser equation

Published:2019-12-01 Issue:2 Volume:11 Page:419-429
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Singh Yudhveer¹,Gill Vinod²,Kundu Sunil³,Kumar Devendra⁴

Affiliation:

1. Amity Institute of information Technology , Amity University , Rajasthan, Jaipur , India

2. Department of Mathematics , Govt.P.G. college Hisar , Haryana, India

3. Department of Mathematics , Jaipur National University , Jaipur Rajasthan, India

4. Department of Mathematics , University of Rajasthan , Jaipur , Rajasthan, India

Abstract

Abstract This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative. We derive formula of Elzaki transform for Hilfer–Prabhakar derivative and its regularized version. The solution of Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative of fractional order is presented in terms of Mittag-Leffler type function. Furthermore, we find the application of the generalized Hilfer-Prabhakar derivative in linear partial differential equation and some problems of Mathematical Physics.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2019-0030

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