The new integral transform and its applications

Mansour, Eman A.; Mehdi, Sadiq; Kuffi, Emad A.

doi:10.22075/ijnaa.2021.5142

The new integral transform and its applications

Document Type : Research Paper

Authors

Eman A. Mansour ¹

Sadiq Mehdi ¹

Emad A. Kuffi ²

¹ Mustansiriyah University, College of Education, Department of Mathematics, Baghdad, Iraq

² bAl-Qadisiyah University, College of Engineering, Al-Qadisiyah, Iraq

10.22075/ijnaa.2021.5142

Abstract

We offer a new complex integral transform, the complex SEE transform, in this paper. The properties of this transform are investigated. This complex integral transform is also used to reduce the core problem to a simple algebraic equation. The answer to this primary problem can then be obtained by solving this algebraic equation and using the inverse of this complex integral transform. Finally, the complex integral transform is used to solve higher order ordinary differential equations. Also, we introduce, some important engineering and physics applications.

Keywords

complex integral transform

ordinary differential equations

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