Some fractional extensions of trapezium inequalities via coordinated harmonic convex functions

In this article, we derive a new fractional estimate for Hermite-Hadamard’s inequality via coordinated harmonic convex functions on a rectangle from the plane \(R^2\). We establish a new fractional integral identity for partially differentiable functions. Utilizing this integral identity, we obtain some more fractional estimates for Hermite-Hadamard’s inequality. The ideas of this paper may stimulate further research.