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, κ-gamma function, κ-beta function, κ-Hilfer fractional derivative, κ-Riesz fractional derivative, κ-fractional operators, (κ, ρ)-Hilfer fractional derivative.