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Ahmed A. Hamoud,Nedal M. Mohammed,Homan Emadifar,Faraidum K. Hamasalh,Soubhagya Kumar Sahoo,Masoumeh Khademi,Foroud Parvaneh 한국지능시스템학회 2022 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.22 No.4
In this paper, we established some new results concerning the existence and uniquenessof the solutions of nonlinear Atangana-Baleanu-Caputo fractional (ABC-fractional) FuzzyVolterra-Fredholm integro-differential equations. These new findings are obtained using thetheorems of a fixed point. In addition, we investigate Hyers-Ulam stability for this fractionalsystem. Our work extends and improves the results in the literature. Finally, some examplesdemonstrate the validity of the obtained theoretical results.