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Volterra fractional integral equation of variable-order is considered. The existence and uniqueness via Banach contraction principle is studied. Both cases of Lipschitz condition and without Lipschitz condition are studied. Ulam-Hyers stability is defined in appropriate way and sufficient conditions are obtained. An example is illustrating the theoretical results.

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Ulam Type Stability of Volterra Fractional Integral Equations of Variable-Order

  • 会议论文

  • 发表日期：

    2025年

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  • Snezhana Hristova

摘要

Volterra fractional integral equation of variable-order is considered. The existence and uniqueness via Banach contraction principle is studied. Both cases of Lipschitz condition and without Lipschitz condition are studied. Ulam-Hyers stability is defined in appropriate way and sufficient conditions are obtained. An example is illustrating the theoretical results.