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<p>In this paper, we introduce a novel integral transform to address certain ordinary differential equations, and it has been demonstrated that this transform possesses unique and highly advantageous properties. We examine this fascinating integral transform and its effectiveness in solving linear ordinary and partial differential equations. Also, we provide a graphical depiction of the solution to the respective differential equations.</p>

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A new type of integral transform and its applications to the solution of differential equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月19日

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  • Mohamed Elarbi Benattia,
  • Khellaf Ould Melha,
  • Vaijanath L. Chinchane,
  • Asha B. Nale,
  • Sabri T. M. Thabet,
  • Imed Kedim

摘要

In this paper, we introduce a novel integral transform to address certain ordinary differential equations, and it has been demonstrated that this transform possesses unique and highly advantageous properties. We examine this fascinating integral transform and its effectiveness in solving linear ordinary and partial differential equations. Also, we provide a graphical depiction of the solution to the respective differential equations.