Scholarlink

This work introduces Dalael Hawraa-transform, a novel integral transformation. (DH-transform), that expressed in general form by \(\alpha \) as \(DH\left(f\left(x\right)\right)=G\left(t\right)={\lambda }^{\alpha }{\int }_{0}^{\infty }{e}^{-{\lambda }^{\alpha }x}f\left(x\right)dx\) . We aimed to study the properties of this transform and applied them on well-known functions. Also, show some notes of the relation between DH-transform and others. Furthermore, to show the effective of our transformation we introduce a solution of mechanical vibration as a dynamical example which used the second differential equation as an illustration of its system, depending on convolution theorem and inverse DH-transform.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On Sophisticated Technique via DH-Transform

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Hasanain Jalil Neamah Alsaedi,
  • Shatha Haider Thyab,
  • Dalael Saad Abdul-Zahra,
  • Hawraa A. AL-Challabi,
  • Hassanein Falah

摘要

This work introduces Dalael Hawraa-transform, a novel integral transformation. (DH-transform), that expressed in general form by \(\alpha \) as \(DH\left(f\left(x\right)\right)=G\left(t\right)={\lambda }^{\alpha }{\int }_{0}^{\infty }{e}^{-{\lambda }^{\alpha }x}f\left(x\right)dx\) . We aimed to study the properties of this transform and applied them on well-known functions. Also, show some notes of the relation between DH-transform and others. Furthermore, to show the effective of our transformation we introduce a solution of mechanical vibration as a dynamical example which used the second differential equation as an illustration of its system, depending on convolution theorem and inverse DH-transform.