Almalahi, Mohammed A.Panchal, Satish K.Jarad, FahdAbdo, Mohammed S.Shah, KamalAbdeljawad, Thabet2024-05-082024-05-082022Almalahi, Mohammed A.;...et.al. (2022). "Qualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivative", AIMS Mathematics, Vol.7, No.9, pp.15994-16016.24736988http://hdl.handle.net/20.500.12416/8220The point of this work was to analyze and investigate the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fuzzy fractional Volterra Fredholm integrodifferential equation in the frame of the Atangana-Baleanu-Caputo fractional derivative methodology. To begin with, we give the parametric interval form of the Atangana-Baleanu-Caputo fractional derivative on fuzzy set-valued functions. Then, by employing Schauder’s and Banach’s fixed point procedures, we examine the existence and uniqueness of solutions for fuzzy fractional Volterra Fredholm integro-differential equation with the Atangana-Baleanu-Caputo fractional operator. It turns out that the last interval model is a combined arrangement of nonlinear equations. In addition, we consider results by applying the Adams Bashforth fractional technique and present two examples that have been numerically solved using graphs.eninfo:eu-repo/semantics/openAccessAtangana Baleanu Fractional DerivativeFixed Point TheoremFractional Differential EquationsFuzzy Fractional DerivativesFuzzy Valued FunctionsGeneralized Hukuhara DifferentiabilityArticle79159941601610.3934/math.2022876