Abstract
In our discussion, existence of solution for fractional integral equation (FIE) involving (k, z)-Riemann-Liouville fractional integral is studied. To achieve this goal, first using shifting distance functions, we establish a new generalization of Dorbo-type fixed point theorem, in short, we shall write DFPT, and then we apply our DFPT on aforementioned FIE to establish the existence result. Also, our results will be verified by considering a suitable example. Moreover, an approximate solution of the example is given via a convergent iterative algorithm constructed by modified homotopy perturbation (MHP) method with a high accuracy.