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

open access: yesLogistics
Background: Neutrosophic logic explicitly quantifies indeterminacy while also maintaining the independence of truth, indeterminacy, and falsity membership functions.
Alaa Fouad Momena   +4 more
doaj   +5 more sources

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

open access: yesNeutrosophic Sets and Systems
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
Gugu Narzary, Bhimraj Basumatary
doaj   +4 more sources

Solving Some Integral and Fractional Differential Equations via Neutrosophic Pentagonal Metric Space

open access: yesAxioms, 2023
In this paper, we first introduce the notion of neutrosophic pentagonal metric space. We prove several interesting results for some classes contraction mappings and prove some fixed point theorems in neutrosophic pentagonal metric space.
Gunaseelan Mani   +4 more
doaj   +5 more sources

The linear 2-refined neutrosophic differential equations

open access: yesNeutrosophic Sets and Systems
In this paper, we studied the linear 2-refined neutrosophic differential equations and defined the homogeneous and non-homogeneous 2-refined neutrosophic differential equations. Also to presenting 2-refined neutrosophic differential equation of Bernoulli,
Yaser Ahmad Alhasan   +3 more
doaj   +4 more sources

A Model Describing the Neutrosophic Differential Equation and Its Application On Mine Safety [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measure the mathematical model of uncertainty, vagueness, ambiguity etc.
Debapriya Mondal   +3 more
doaj   +6 more sources

Dynamics of fractional order nonlinear system: A realistic perception with neutrosophic fuzzy number and Allee effect [PDF]

open access: yesJournal of Advanced Research, 2021
Introduction: The fusion of fractional order differential equations and fuzzy numbers has been widely used in modelling different engineering and applied sciences problems.
Najeeb Alam Khan   +4 more
doaj   +2 more sources

Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
This paper solves the boundary value problem of the second-order differential equation under the neutrosophic fuzzy boundary condition. The proposed solution is approximated using the finite difference method but deneutrosophication utilizing strongly ...
Bassem Kamal   +3 more
doaj   +3 more sources

Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
The ordinary differential equation of second order is being used in many engineering disciplines and sciences to model many real-life problems. These problems are mostly uncertain, vague and incomplete and thus they require some more advanced tool for ...
Meghna Parikh, Manoj Sahni
doaj   +3 more sources

New approach on differential equation via trapezoidal neutrosophic number [PDF]

open access: yesComplex & Intelligent Systems, 2019
Neutrosophic Logic is a tool based on non-standard analysis to represent mathematical model of uncertainty, vagueness, ambiguity, incompleteness, and inconsistency. In Neutrosophic set, indeterminacy is quantified explicitly whereas the truth membership, indeterminacy membership, and falsity membership are independent.
C Antony Crispin Sweety
exaly   +2 more sources

Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach [PDF]

open access: yesOperations Research and Decisions
Time is a very crucial factor in controlling demand patterns for certain products. In manufacturing processes, the production rate must be regulated according to the demand pattern and available stock as a part of effective lot size management policies ...
Mostafijur Rahaman   +6 more
doaj   +2 more sources

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