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

Yudhveer Singh; Vinod Gill; Sunil Kundu; Devendra Kumar

doi:10.2478/ausm-2019-0030

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.

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

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