Halder, SukantaDeepmala, CemilTunc, Cemil2025-05-102025-05-1020241658-365510.1080/16583655.2024.24100472-s2.0-85206376759https://doi.org/10.1080/16583655.2024.2410047https://hdl.handle.net/20.500.14720/11212Tunc, Cemil/0000-0003-2909-8753This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra $ C [0, a], a>0. Our analysis relies on the Petryshyn's fixed point theorem and the notion of measure of non-compactness (MNC). In addition, our results include numerous authors' work under less restrictive conditions. Furthermore, we provide an illustrative example of fractional functional integral equations to support our proven results.eninfo:eu-repo/semantics/openAccessMeasure Of Non-Compactness (Mnc)Fractional Functional Integral Equation (Ffie)Fractional IntegralFixed Point Theory (Fpt)Article