In this paper, some important properties concerning the Hilfer-type fractional derivatives are discussed. Integral transforms for these operators are derived as particular cases of the Jafari transform. These integral transforms are used to derive a fractional version of the fundamental theorem of calculus.

Keywords: Integral transforms, Jafari transform, \(\kappa\)-gamma function, \(\kappa\)-beta function, \(\kappa\)-Hilfer fractional derivative, \(\kappa\)-Riesz fractional derivative, \(\kappa\)-fractional operators, \((\kappa,\rho)\)-Hilfer fractional derivative.