SEE Transform in Difference Equations and Differential-Difference Equations Compared With Neutrosophic Difference Equations

Eman A. Mansour¹, Emad A. Kuffi²

¹Department of Electrical Technologies Southern Technical University / Technical Institute Nasiriyah, Iraq

²Department of Material Engineering, College of Engineering Al-Qadisiyah University, Iraq

Emails: iman.am73@stu.edu.iq; emad.abbas@qu.edu.iq

Abstract

The Sadiq-Emad-Emann (SEE) transform, also known as operational calculus, has gained significant importance as a fundamental component of the mathematical knowledge necessary for physicists, engineers, mathematicians, and other scientific professionals. This is because the SEE transform offers accessible and efficient resources for resolving several applications and challenges encountered in diverse engineering and science domains. This study aims to introduce the fundamental principles of SEE transformation and establish the validity of two statements and associated attributes. The objective of this study is to use the aforementioned qualities in order to determine the solution of difference and differential-difference equations, with neutrosophic versions of difference and differential difference equations. In addition, we are able to get very effective and expeditious precise answers.

Keywords: SEE transform; Derivation of originals; Delay property; Differential equations; Difference equations; neutrosophic difference equation; neutrosophic differential difference equation.