Cakan, UmitOzdemir, Ismet2024-08-042024-08-0420170163-05631532-2467https://doi.org/10.1080/01630563.2017.1291522https://hdl.handle.net/11616/97784We prove a theorem on the existence of solutions of some nonlinear functional integral equations in the Banach algebra of continuous functions on the interval [0,a]. Then we consider a nonlinear integral equation of fractional order and give some sufficient conditions for existence of solutions of this equation. We use fixed point theorems associated with the measure of noncompactness as the main tool. Our existence results include several results obtained in previous studies. Finally we present some examples which show that our results are applicable.eninfo:eu-repo/semantics/closedAccessDarbo fixed-point theoremFixed point theorem in Banach algebraMeasure of noncompactnessNonlinear integral equationsRiemann-Liouville fractional integralArticle38564167310.1080/01630563.2017.12915222-s2.0-85017592410Q2WOS:000399733300006Q3