Coupled Fractional Volterra Integral Equations With Fuzzy Operators in ∗-Fuzzy Measure Spaces: Stability Analysis and Hamacher ∗-Fuzzy Numerical Approximation

Mahdis Yazdani Gharehaghaj, Reza Saadati and Mohammad Bagher Ghaemi

Journal of Mathematics, 2026, vol. 2026, 1-17

Abstract: In this paper, we study a coupled system of fractional Volterra integral equations in the ∗-fuzzy measure spaces that are equipped with an Archimedean triangular norm and a ∗-fuzzy integral. Setting a Lipschitz condition on the nonlinear kernels, defining a suitable ∗-fuzzy control function, and applying the alternative fixed-point method, we obtain existence, uniqueness, and Hyers–Ulam stability of this system in an admissible ∗-fuzzy function space. We also analyze the Lipschitz-type dependence of the solution on the fractional orders over compact intervals. Finally, we consider the Hamacher ∗-fuzzy product-integration Picard scheme and solve the equation numerically. Our results extend and enhance the previous studies in the literature.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4696453

DOI: 10.1155/jom/4696453

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