On the SEE transform and systems of ordinary differential equations

In this paper, we present properties and meaning of the new fundamental, called SEE change. Additionally, we use SEE change to tackle frameworks of standard differential condition

Solution of Population Growth Rate Linear Differential Model via Two Parametric SEE Transformation

The integral transformations is a complicated function from a function space into a simple function in transformed space. Where the function being characterized easily and manipulated through integration in transformed function space. The two parametric form of SEE transformation and its basic characteristics have been demonstrated in this study. The transformed function of a few fundamental functions along with its time derivative rule is shown. It has been demonstrated how two parametric SEE transformations can be used to solve linear differential equations. This research provides a solution to population growth rate equation. One can contrast these outcomes with different Laplace type transformation

The new integral transform “SEE transform” and its applications

In this paper another fundamental change in particular SEE change was applied to address straight normal deferential conditions with consistent coefficients and SEE change of incomplete derivative is inferred and its appropriateness showed utilizing three is inferred and its appropriateness showed utilizing: wave equation, heat equation and Laplace equation, we find the particular solutions of these equations

Sadik and complex Sadik integral transforms of system of ordinary differential equations

The integral transforms has an essential role to solve the differential  and integral equations. In this paper the Sadik and complex Sadik transforms are discussed in detail through an application study for solving initial value problem iincludes the system of ODEs and result explained that Sadik and complex Sadik transforms that closely related.

The SEA integral transform and its application on differential equations

The subject of integral transformations' suggestions, properties studying and testing their efficiency via their application into real-life scientific applications, is a never-perishing subject. This work proposed a new integral transform called the Sherifa-Emad-Ali) SEA integral transform that manipulates the kernel function of the ZZ transform via the insertion of the complex parameter into the kernel to produce a new integral transform with a different domain than the ZZ transform. The properties and the application of the proposed SEA integral transform are studied and proved. The applicability of the transform to solve some problems represented by differential equations, including Newton’s law of cooling problem and the deflecting of a hinged beam under a uniform load, is also discussed

A new complex SEL integral transform and its applications on ordinary differential equations

This paper introduces a new complex integral transformation obtained by inserting a complex parameter into the well-known Rangaig integral transform kernel function. The new integral transform is denoted by the acronym SEL and is called the Complex (Serifenur-Emad-Luay) integral transform. The proposed SEL integral transform features are explained and shown to correspond to some fundamental functions. The application of the SEL transform to finding the solution of some differential equations, including those arising in some real-world practical applications, is discussed as an illustration of the actual fields that could benefit from this novel transform

The complex EFG integral transform and its applications

In recent years, many integral transforms have been proposed to fulfill the vast number of fields that have benefited from them. The "Complex (Emad-Faruk-Ghaith) EFG" transform is introduced in this paper as a novel general complex integral transformation. The complex EFG transform properties, its application, and the inverse complex FEG transform's application to various fundamental functions are discussed. Using the complex EFG transform to solve high-order ordinary differential equations and other miscellaneous scientific and engineering problems demonstrates the efficacy of the transform in converting the core of some problems into simple, solvable algebraic equations. The EFG transform can be beneficial as a competent new transform in numerous scientific fields

The SEA Integral Transform and Its Application on Differential Equations

The subject of integral transformations' suggestions, properties studying and testing their efficiency via their application into real-life scientific applications, is a never-perishing subject. This work proposed a new integral transform called the Sherifa-Emad-Ali) SEA integral transform that manipulates the kernel function of the ZZ transform via the insertion of the complex parameter into the kernel to produce a new integral transform with a different domain than the ZZ transform. The properties and the application of the proposed SEA integral transform are studied and proved. The applicability of the transform to solve some problems represented by differential equations, including Newton's law of cooling problem and the deflecting of a hinged beam under a uniform load, is also discussed

Solving the second kind linear volterra integrodifferential equations using the complex SEE integral transform

As an important type of integral equation, Volterra integral equations snatch the focus of many scientists and mathematicians to provide approximate or exact solutions to such equations. The integral transform capability of providing an algebraic solution to the integral equations led the mathematical community to lean heavily on them to solve those kinds of equations, including the Volterra integrodifferential equations of the second kind. This paper uses the complex SEE integral transform to find the exact solution to the second kind linear Volterra integrodifferential equation. The capability and efficiency of complex SEE integral transform in providing an exact solution with the minimum number of computations possible are demonstrated via practical applications

Generalization of complex Al-Tememe transformation and its applications

The increasing need for integral transforms to solve the problems of applications in many scientific fields has led to the relentless pursuit of suggesting new integral transforms. An innovative generalization of the Complex Al-Tememe integral transformation is introduced and discussed thoroughly in this work, where the properties of the proposed transformation and its inverse are exposed by utilizing it in some fundamental functions and the efficiency of the generalized Complex Al-Teme integral transform is demonstrated by using it in solving Euler and multiplication ordinary differential equations with variable coefficients