Solution of fractional integral equations via fixed point results

Abstract In this paper, we introduce two new concepts of F -contraction, called dual $F^{*}$ F ∗ -weak contraction and triple contraction, which generalize the existing contractions in sense Wardowski, Jleli Samet as well Skof. These generalizations embed their roots aim devoted to extending generalized Banach conjuncture class -contraction type mappings with use multiple -type functions. Furthermore, establish existence a unique fixed point for such under certain conditions. Fractional calculus can be used precisely change or control fractal dimension any random deterministic coordinates that expressed functions one independent variable. We apply our main result weaken conditions on fractional integral equations. Finally, discuss significance obtained results comparison renowned ones literature.