ABSTRACT

In this chapter, we present the general fractional derivatives general fractional derivatives and integrals of constant order involving the kernel of the special functions, such as the Mittag-Leffler function Mittag-Leffler function , Kohlrausch-Williams-Watts function Kohlrausch-Williams-Watts function , Wiman function Wiman function , Prabhakar function Prabhakar function , Gorenflo-Mainardi function Gorenflo-Mainardi function , Miller-Ross function Miller-Ross function , Lorenzo-Hartley function Lorenzo-Hartley function , subcosine function subcosine function and subsine function subsine function . The general fractional derivatives and the general fractional integrals with respect to another function are also presented. The general fractional derivatives are also considered to describe the relaxation and rheological models in complex phenomena.