In this article, we apply the double ARA–Sumudu transformation (DARA-ST) to nonlocal fractional Caputo derivative operator. We achieve interesting results and implement them solve certain classes of partial differential equations (FPDEs). Several physical applications are discussed analyzed, such as telegraph, Klein–Gordon Fokker–Planck equations. The new technique with DARA-ST is efficient acc...

Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification solving many significant problems astrophysics physics. In this present work, our aim is to demonstrate solutions the generalized Hurwitz-Lerch Zeta function by applying Sumudu transform. addition these, conditions generalised derived.