Hashem, HindEl-Sayed, AhmedBaleanu, Dumitru2025-10-062025-10-0620192227-7390https://doi.org/10.3390/math7090856https://hdl.handle.net/20.500.12416/15661Hashem, H. H. G./0000-0002-9921-832XThis paper is concerned with proving the existence of solutions for a coupled system of quadratic integral equations of fractional order in Banach algebras. This result is a direct application of a fixed point theorem of Banach algebras. Some particular cases, examples and remarks are illustrated. Finally, the stability of solutions for that coupled system are studied.eninfo:eu-repo/semantics/openAccessFractional Order OperatorsQuadratic Integral EquationsCoupled System2 X 2 Block Operator MatrixExistence Results for Block Matrix Operator of Fractional Orders in Banach AlgebrasArticle10.3390/math70908562-s2.0-85072312610