On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings

•The conception of the interval-valued fractional double integrals having exponential kernels is developed.•The Hermite-Hadamard, Fej’er-Hermite-Hadamard, as well as Pachpatte type inclusion relations regarding the interval-valued co-ordinated convex mappings are established.•Three numerical examples, to identify the correctness of the inclusion relations, are provided. In the present study, over a rectangle from the plane R2, we define and develop the conceptions of the interval-valued fractional double integrals having exponential kernels, from which we exploit Hermite–Hadamard, Fejér–Hermite–Hadamard, as well as Pachpatte type inclusion relations regarding the interval-valued co-ordinated convex mappings. These inclusion relations can be viewed as certain substantial generalizations of the previously reported findings. To identify the correctness of the inclusion relations constructed in this work, we also provide three examples regarding the interval-valued co-ordinated convex mappings.