By applying exponential type m-convexity, the Hölder inequality and the power mean inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with exponential kernels inequalities, such as right-side Hadamard type, midpoint type, trapezoid type and Dragomir-Agarwal type inequalities. The results of this study are obtained for mappings ω where ω and |ω′ | (or |ω′ |q with q ≥ 1) are exponential type m-convex. Also, the results presented in this article provide generalizations of those given in e...