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<p>Integral transforms are fundamental tools in the study of differential equations, with wide-ranging applications in both engineering and scientific phenomena. This paper employs a generalized integral transform to analyze the stability of Euler-Cauchy differential equations. Additionally, it presents key results about the stability of these equations within the frameworks of Ulam-Hyers and Ulam-Hyers-Rassias stability.</p>

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Investigation of generalized integral transform approach to the stability analysis of Euler-Cauchy differential equations

  • 期刊论文

  • 发表日期：

    2025年10月16日

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  • Salah Boulaaras,
  • A. Selvam,
  • S. Sabarinathan

摘要

Integral transforms are fundamental tools in the study of differential equations, with wide-ranging applications in both engineering and scientific phenomena. This paper employs a generalized integral transform to analyze the stability of Euler-Cauchy differential equations. Additionally, it presents key results about the stability of these equations within the frameworks of Ulam-Hyers and Ulam-Hyers-Rassias stability.