Solving Riemann–Liouville Fractional Integral Equations by Fixed Point Results in Complex-Valued Suprametric Spaces

Theaim of this research is to establish existence and uniqueness results for the Riemann–Liouville fractional integral equation of order αϰ(t)=f(t)+λΓα∫0tt−sα−1gs,ϰ(s)ds,t∈[0,1], by developing common fixed point theorems for generalized contractions involving control functions of two variables in the framework of complex valued suprametric spaces. The proposed results extend and generalize several existing findings in the literature, and some illustrative examples are provided to demonstrate the novelty and applicability of the main theorem.