Existence of solution of infinite systems of nonlinear fractional integral equation of two variables in $C(I\times I,m(\Delta_{v}^{u}, \phi,p))$

The aim of the present paper, is to investigate the solvability of infinite systems of nonlinear fractional integral equation of two variables in $C(I\times I,m(\Delta_{v}^{u}, \phi,p))$ by using the Hausdorff measure of noncompactness with the help of Meir–Keeler condensing operators. We also provide an illustrative example in support of our existence theorems.