Solvability of m-product mixed non-linear functional integral equations

The purpose of this paper is devoted to establishing the existence of solutions for m-product non-linear functional integral equations with weakly singular and Riemann–Liouville integral terms. Our technique is based on Petryshyn’s theorem associated with the Hausdorff measure of non-compactness. Further, some examples are provided to illustrate the practicality of the results obtained.