70aa5bec-66fd-444d-b2de-1fa384c29c7820250506092752686wseas:wseasmdt@crossref.orgMDT DepositEQUATIONS2732-99762944-914610.37394/232021https://wseas.com/journals/equations/562025562025510.37394/232021.2025.5https://wseas.com/journals/equations/2025.phpIhab HadiJumhaaDepartment of Mathematics "Education College" Al-Mustansiriya University Baghdad, IRAQHussein JabbarMohammedDepartment of Mathematics "Education College" Al-Mustansiriya University Baghdad, IRAQAdil KBagheedhDepartment of Mathematics "Education College" Al-Mustansiriya University Baghdad, IRAQUday JabbarQuaezDepartment of Mathematics "Education College" Al-Mustansiriya University Baghdad, IRAQIn this work, the generalized exponential spline methodt is studied to approximate the solution of fuzzy fractional integro differential equations under Caputo derivative. The existence and uniqueness theorems for these equations by considering the type of differentiability of solution are proved. 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