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WONG-ZAKAI METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN ENGINEERING
(Vinca Inst Nuclear Sci, 2021)
In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are ...
APPLICATION OF CRANK-NICOLSON METHOD TO A RANDOM COMPONENT HEAT EQUATION
(Yildiz Technical Univ, 2020)
In this study, the solution of a random component heat equation is obtained by using Crank-Nicolson Method. The initial condition of this equation is examined by Normal distribution. The expected value and variance of ...
Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method
(Springer International Publishing Ag, 2020)
The new Sumudu transform iterative method is implemented to get the approximate solutions of random component time-fractional partial differential equations with Caputo derivative. The parameters and the initial conditions ...
ANALYSIS OF RANDOM DISCRETE TIME LOGISTIC MODEL
(Yildiz Technical Univ, 2020)
In this study, the behavior of the logistic difference model is investigated under random conditions using discrete probability distributions. The logistic difference model consists of parameters that depend on the population ...
Investigation of linear difference equations with random effects
(Springer, 2020)
In this study, random linear difference equations obtained by transforming the components of deterministic difference equations to random variables are investigated. Uniform, Bernoulli, binomial, negative binomial (or ...
Global stability of Susceptible Diabetes Complication (SDC) model in discrete time
(Yildiz Technical Univ, 2021)
In this study, the mathematical model (DC) of diabetes disease is discussed. This model divides people into (D) uncomplicated and (C) complex diabetics two. In addition, diabetes is a disease known to be caused by genetic ...
A simplified neutrosophic multiplicative set-based TODIM using water-filling algorithm for the determination of weights
(Wiley, 2020)
Due to the technological developments around the world, the amount of information that researchers work on increases continuously. This information density contains incomplete and uncertain data that cannot be fully expressed ...
Modification of the random differential transformation method and its applications to compartmental models
(Taylor & Francis Inc, 2021)
In this study, a modification of the random differential transformation method is given by using Laplace-Pade method. The modification, which has previously been introduced for the deterministic differential transformation ...
Investigation of the Behaviour of Volterra Integral Equations with Random Effects
(2020)
In this study, random Volterra integral equations obtained by transforming components of deterministic Volterra integral equations to random variables are analysed. Beta, Normal (Gaussian), Gamma, Geometric and Uniform ...
DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL
(EDITURA ACAD ROMANE, 2022)
In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the ...