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The goal of this paper is to define the idea of integral transformation types. This is a quite common method of developing a specific type of differential equation solution using integral transforms. This successful method provides the possible to simplify the problem. There are several techniques for resolving boundary (starting) problem values with integral equations. In this paper, We provide a novel integral transform defined as ‘ transform’. We will introduce conversion of some functions, some important rules and examples, and specific convolution. We will discuss the inverse of the transform, then we will mention its properties and how to extract the inverse of some quantities through the convolution process and also in the normal method. Then we will use the aforementioned transformation and its inverse in solving ordinary differential equations through the aforementioned convolution and transformation, and through the aforementioned transformation and the usual method, Finally, how can we use the to solve some types of ordinary differential equations.

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A New The image shows a mathematical notation representing the variable \( Z_A \). The letter "Z" is followed by a subscript "A". – Transform Technique for Solution System Ordinary Differential Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Rakzan Shaker Naji,
  • Ali Hassan Mohammed

摘要

The goal of this paper is to define the idea of integral transformation types. This is a quite common method of developing a specific type of differential equation solution using integral transforms. This successful method provides the possible to simplify the problem. There are several techniques for resolving boundary (starting) problem values with integral equations. In this paper, We provide a novel integral transform defined as ‘ transform’. We will introduce conversion of some functions, some important rules and examples, and specific convolution. We will discuss the inverse of the transform, then we will mention its properties and how to extract the inverse of some quantities through the convolution process and also in the normal method. Then we will use the aforementioned transformation and its inverse in solving ordinary differential equations through the aforementioned convolution and transformation, and through the aforementioned transformation and the usual method, Finally, how can we use the to solve some types of ordinary differential equations.