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To make a decision to select a suitable approximation for the solution of a functional inequality, we need reliable information. Two useful information ideas are quality and certainty, and the measure of quality and certainty approximation of the solution of a functional inequality helps us to find the optimum approximation. We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular stability. Also, we apply Hyers–Ulam- \(\mathcal {H}\) -Fox (HU- \(\mathcal {H}\) -F) stability of Generalized Fractional Systems.

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Z-Numbers

  • 章节

  • 发表日期：

    2025年

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  • Zahra Eidinejad,
  • Reza Saadati,
  • Tofigh Allahviranloo,
  • Chenkuan Li,
  • Javad Vahidi

摘要

To make a decision to select a suitable approximation for the solution of a functional inequality, we need reliable information. Two useful information ideas are quality and certainty, and the measure of quality and certainty approximation of the solution of a functional inequality helps us to find the optimum approximation. We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular stability. Also, we apply Hyers–Ulam- \(\mathcal {H}\) -Fox (HU- \(\mathcal {H}\) -F) stability of Generalized Fractional Systems.