EXPLORING THE DOUBLE ARA-KAMAL TRANSFORM FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

In this article, we explore the application of the double ARA-Kamal transformation (DARA-KT) to the nonlocal fractional Caputo derivative operator. Our investigation yields intriguing findings, particularly in solving certain classes of fractional partial differential equations (FPDEs). We delve into various physical scenarios, including Wave, Klein-Gordon, and Fokker-Planck equations, analyzing their implications. The incorporation of the DARA-KT technique proves to be both efficient and precise in deriving exact solutions for FPDEs. To demonstrate the practicality of our approach, we present some numerical examples and figures.