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

Author

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  • Mahdis Yazdani Gharehaghaj
  • Reza Saadati
  • Mohammad Bagher Ghaemi

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.

Suggested Citation

  • Mahdis Yazdani Gharehaghaj & Reza Saadati & Mohammad Bagher Ghaemi, 2026. "Coupled Fractional Volterra Integral Equations With Fuzzy Operators in ∗-Fuzzy Measure Spaces: Stability Analysis and Hamacher ∗-Fuzzy Numerical Approximation," Journal of Mathematics, Hindawi, vol. 2026, pages 1-17, October.
    • Handle: RePEc:hin:jjmath:4696453
    DOI: 10.1155/jom/4696453
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