A Study on n-th Derivative of Neutrosophic Function and Neutrosophic Differential Equation

Gugu Narzary; Bhimraj Basumatary

A Study on n-th Derivative of Neutrosophic Function and Neutrosophic Differential Equation

Authors

Gugu Narzary Department of Mathematical Sciences, Bodoland University, Kokrajhar;
Bhimraj Basumatary Department of Mathematical Sciences, Bodoland University, Kokrajhar;

Keywords:

neutrosophic set; neutrosophic real number; derivative of neutrosophic function; n-th order neutrosophic differential equation

Abstract

Neutrosophic sets play an important role in addressing uncertainty, vagueness, and indeterminacy
in problem-solving. In this research article, we deal with the concepts of the derivative of neutrosophic real
functions. This article aims to understand the n-th order derivative of neutrosophic real functions. In addition,
the n-th order neutrosophic differential equation is defined, and at the same time, we have established both the
existence and uniqueness of the solution to the n-th order neutrosophic differential equation.

DOI: 10.5281/zenodo.13924220

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Published

2024-10-04

Issue

Vol. 75 (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

Gugu Narzary, & Bhimraj Basumatary. (2024). A Study on n-th Derivative of Neutrosophic Function and Neutrosophic Differential Equation. Neutrosophic Sets and Systems, 75, 29-49. https://fs.unm.edu/nss8/index.php/111/article/view/5036