The definite integrals of 2- refined neutrosophic functions and its  properties

Yaser Ahmad Alhasan; Mohamed Elghazali Ali Mohieldin Mohamed; Raja Abdullah Abdulfatah

The definite integrals of 2- refined neutrosophic functions and its properties

Authors

Yaser Ahmad Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.;
Mohamed Elghazali Ali Mohieldin Mohamed Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj Saudi Arabia.;
Raja Abdullah Abdulfatah Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.;

Keywords:

definite integrals; 2- refined neutrosophic functions; properties; mean-value theorem.

Abstract

This article aims to study the definite integrals of 2- refined neutrosophic functions and its
properties. The definite integrals of 2- refined neutrosophic functions are defined in this study, and
a set of theories are presented, including the Fundamental theorem of 2- refined neutrosophic integral
calculus, the mean-value theorem of 2- refined neutrosophic integral calculus with its two parts, in
addition to the properties of the definite integrals of 2- refined neutrosophic functions. Also, we used
the n-Refined AH-Isometry [11].

DOI: 10.5281/zenodo.14961563

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Published

2025-05-01

Issue

Vol. 82 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Yaser Ahmad Alhasan, Mohamed Elghazali Ali Mohieldin Mohamed, & Raja Abdullah Abdulfatah. (2025). The definite integrals of 2- refined neutrosophic functions and its properties . Neutrosophic Sets and Systems, 82, 168-175. https://fs.unm.edu/nss8/index.php/111/article/view/5983