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<p>In this paper, the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equation are studied. Using Gronwall type inequality and the fixed point approach, the Hyers-Ulam stability, Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equations are discussed in details under four mutually exclusive cases. Four examples are provided to illustrate applications of given results. The obtained results can be useful for applied researchers in numerous scientific areas.</p>

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Hyers-Ulam Stability of Volterra Type Integro-Differential Euler Equations with Delay

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月20日

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  • Jing Shao,
  • Zhaowen Zheng,
  • Siyu Tian

摘要

In this paper, the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equation are studied. Using Gronwall type inequality and the fixed point approach, the Hyers-Ulam stability, Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equations are discussed in details under four mutually exclusive cases. Four examples are provided to illustrate applications of given results. The obtained results can be useful for applied researchers in numerous scientific areas.