Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions

In this article, we introduce generalized $\zeta -$ conformable fractional integrals on co-ordinated functions and for the functions of two variables. Additionally, we derive a new Hermite-Hadamard inequality by utilizing the generalized Riemann-Liouville integrals, utilizing the generalized $\zeta -$conformable integral definition. Furthermore, we demonstrate some implications of the Hermite-Hadamard inequality and definitions introduced in this study. Consequently, we state and prove several related inequalities.