AUTHOR=Samraiz Muhammad , Perveen Zahida , Rahman Gauhar , Nisar Kottakkaran Sooppy , Kumar Devendra 

TITLE=On the (k,s)-Hilfer-Prabhakar Fractional Derivative With Applications to Mathematical Physics

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00309

DOI=10.3389/fphy.2020.00309

ISSN=2296-424X

ABSTRACT=In this paper, we introduce the (k; s)-Hilfer Prabhakar fractional derivative. We discuss its properties and find a generalized Laplace transform of this operator. Furthermore, we show the applications of the (k; s)-Hilfer Prabhakar derivative in mathematical physics such as heat equation, free-electron laser equation, and kinetic differ-integral equation.