Neutrosophic Fuzzy Boundary Value Problem under  Generalized Hukuhara Differentiability

Bassem A. Kamal; A. A. Salama; M.shokry; Magdi S. El-Azab; Galal I. El-Baghdady

Neutrosophic Fuzzy Boundary Value Problem under Generalized Hukuhara Differentiability

Authors

Bassem A. Kamal Department of Mathematics and Engineering Physics, Faculty of Engineering, Delta University for science and technology, Egypt
A. A. Salama Department of Mathematics and Computer Science, Faculty of Science, Port Saied University, Egypt
M.shokry Physics and engineering mathematics department, Faculty of engineering, Tanta university, Egypt
Magdi S. El-Azab Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt
Galal I. El-Baghdady Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt

Keywords:

Fuzzy, neutrosophic fuzzy number, Hukuhara differentiability, neutrosophic fuzzy differential equation

Abstract

In this article, the main definitions and differentiation concepts of neutrosophic fuzzy
environment will be reviewed. This article will introduce an analytical methodology for solving
the second-order linear ordinary differential problem with neutrosophic fuzzy boundary values,
this analysis will be under generalized Hukuhara differentiability to show the analytical solutions
from a different point of view for the uncertain system, some of these solutions may be decreasing
in uncertainty or maybe reflecting the behavior of some real-world systems better. Some
applications and numeral examples will be solved to show the behavior of the solution.

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Published

2021-12-01

Issue

Vol. 47 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

Bassem A. Kamal, A. A. Salama, M.shokry, Magdi S. El-Azab, & Galal I. El-Baghdady. (2021). Neutrosophic Fuzzy Boundary Value Problem under Generalized Hukuhara Differentiability. Neutrosophic Sets and Systems, 47, 179-200. https://fs.unm.edu/nss8/index.php/111/article/view/4138