Solution of second order linear fuzzy difference equation by Lagrange's multiplier method

Mondal, Sankar Prasad; Vishwakarma, D. K.; Saha, Apu Kumar

doi:10.5899/2016/jsca-00063

Cited by 4 publications

(1 citation statement)

References 21 publications

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“…The economics application is considered by Konstantinos et al [29]. Mondal et al [30] solve the second-order intuitionistic difference equation. Non-linear interval-valued fuzzy numbers and their relevance to difference equations are shown in [31].…”

Section: Difference Equation In An Uncertain Environmentmentioning

confidence: 99%

Solution and Interpretation of Neutrosophic Homogeneous Difference Equation

et al. 2020

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In this manuscript, we focus on the brief study of finding the solution to and analyzingthe homogeneous linear difference equation in a neutrosophic environment, i.e., we interpreted the solution of the homogeneous difference equation with initial information, coefficient and both as a neutrosophic number. The idea for solving and analyzing the above using the characterization theorem is demonstrated. The whole theoretical work is followed by numerical examples and an application in actuarial science, which shows the great impact of neutrosophic set theory in mathematical modeling in a discrete system for better understanding the behavior of the system in an elegant manner. It is worthy to mention that symmetry measure of the systems is employed here,which shows important results in neutrosophic arena application in a discrete system.

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Section: Difference Equation In An Uncertain Environmentmentioning

confidence: 99%

Solution and Interpretation of Neutrosophic Homogeneous Difference Equation

et al. 2020

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On second-order fuzzy discrete population model

2022

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This work is concerned with dynamical behavior of a second-order fuzzy discrete population model: x n = A x n − 1 1 + x n − 1 + B x n − 2 , n = 1 , 2 , … , {x}_{n}=\frac{A{x}_{n-1}}{1+{x}_{n-1}+B{x}_{n-2}},\hspace{1em}n=1,2,\ldots , where A , B A,B are positive fuzzy numbers. x n {x}_{n} is a positive fuzzy number and represents the population size at the observation instant n. According to a generalization of division ( g g -division) of fuzzy number, we study the dynamical behaviors including boundedness, global asymptotical stability, and persistence of positive fuzzy solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.

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Large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters

Zhang

Pan

Ou-Yang

et al. 2023

IFS

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The article is concerned with large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters x n + 1 = A + x n B + x n - 1 , n = 1 , 2 , ⋯ , here the initial values x i (i = -1, 0) and the parameters A, B are positive fuzzy numbers. Utilizing a generalization of division (g-division) of fuzzy numbers, one presents large time behaviors of positive fuzzy solution including persistence, boundedness, global convergence. Moreover, two numerical examples verify the effectiveness of the qualitative analysis.

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Solution of second order linear fuzzy difference equation by Lagrange's multiplier method

Cited by 4 publications

References 21 publications

Solution and Interpretation of Neutrosophic Homogeneous Difference Equation

Solution and Interpretation of Neutrosophic Homogeneous Difference Equation

On second-order fuzzy discrete population model

Large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters

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