Second-order neutrosophic boundary-value problem

Abstract

In this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

The Existence and Uniqueness Conditions for Solving Neutrosophic Differential Equations and Its Consequence on Optimal Order Quantity Strategy

“…Moi et al [36] proposed the notion of a "generalized neutrosophic derivative" of a neutrosophic-valued function and discussed the solving approach of linear NDE. After that, Moi et al [37] analyzed a neutrosophic boundary value problem using a different type of generalized neutrosophic derivative. The notion of neutrosophic Riemann integration is established by Biswas et al [38].…”

“…It has come to our attention that the majority of studies [9,[34][35][36][37][38][39][41][42][43][44][45][46][47]49,50] in neutrosophic set theory have focused on applying neutrosophic sets in various scientific disciplines. However, there has been minimal effort directed towards the comprehensive development of neutrosophic differential equations and their manifestation within the neutrosophic context.…”