Neutrosophic Sets and Systems (Dec 2021)

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

DOI
https://doi.org/10.5281/zenodo.5775116
Journal volume & issue
Vol. 47
pp. 179 – 200

Abstract

Read online

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.

Keywords