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Stochastic Linear Volterra Equation

Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse ‎functions

Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse ‎functions

... This paper is organized as follows: In Section 2 we introduce BPFs and their properties. In Section 3 we solve the two-dimensional linear stochastic Volterra-Fredholm integral equation 1.2 by ...

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Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation

Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation

... In this section, we review the basic properties of the SBM that are essential for this work. For more details see [2, 12]. Let the functions α(t, X ), β(t, X ) and γ(t, X) hold in lipschitz conditions and linear ...

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Mean Square Summability of Solution of Stochastic Difference Second Kind Volterra Equation with Small Nonlinearity

Mean Square Summability of Solution of Stochastic Difference Second Kind Volterra Equation with Small Nonlinearity

... [1–8]. Volterra equations are undoubtedly also very important for both theory and applications [3, ...of linear sto- chastic di ff erence second-kind Volterra equations were obtained by authors in ...

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Stochastic delay Lotka-Volterra model

Stochastic delay Lotka-Volterra model

... a stochastic differential delay equation to have a unique global ...the equation are generally required to satisfy the linear growth condition and local Lipschitz condition ...the ...

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pth moment stability in stochastic neutral Volterra Levin equation with Lévy noise and variable delays

pth moment stability in stochastic neutral Volterra Levin equation with Lévy noise and variable delays

... the stochastic neutral Volterra-Levin equation with Lévy noise and variable delays, and we obtained the condition of pth moment exponen- tial stability by fixed point theory and the ...

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Crisp Function Of Integral Nonlinaer Equation Of The Second Kind Over The Fuzzy Interval With Application

Crisp Function Of Integral Nonlinaer Equation Of The Second Kind Over The Fuzzy Interval With Application

... The table 1 discuses between the numerical method and exact solution is successes to find the value of the crisp nonlinear integral equation over fuzzy interval with a small absolute error . Similarly we can find ...

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On constrained Langevin equations and (bio)chemical reaction networks

On constrained Langevin equations and (bio)chemical reaction networks

... The rest of this paper is organized as follows. Section 1.1 gives a short description of the notation which will be used throughout the paper. In Section 2, we present the continuous time Markov chain model for chemical ...

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Vol 8, No 8 (2017)

Vol 8, No 8 (2017)

... fractional Volterra integro-differential equations with weakly singular ...solution Volterra fractional integral equation of the second ...nonlinear Volterra fractional integro-differential ...

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Solving linear Volterra–Fredholm integro- differential equations of fractional  order by using  Generalized Differential Transform Method

Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method

... [16].Jang M. J., Chen C. L. and Lity Y. C., "Two-dimensional differential transform for partial differential equations" , Applied Mathematics and Computation, 121, pp. 261-270,2001 . [17].Kacprzyk J., ...

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Reduction Formula for Linear Fuzzy Equations

Reduction Formula for Linear Fuzzy Equations

... fuzzy linear initia l value d ifferentia l equations of order is reduced to fuzzy linear integro- diffe rential equations of Volterra type of order , this is obtained in the ne xt e xa mple ...

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A Series Approach to Perturbed Stochastic Volterra Equations of Convolution Type

A Series Approach to Perturbed Stochastic Volterra Equations of Convolution Type

... perturbed stochastic Volterra Equations with noise terms driven by series of inde- pendent scalar Wiener processes are ...perturbed stochastic Volterra Equations of convolution type are ...

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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method

Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method

... functional equation in which the unknown function appears in the form of it is a derivative as well as under the integral sign is called an integro-differential equation (see [10, 11, 14, 15, ...

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Stochastic Delay Lotka Volterra Model

Stochastic Delay Lotka Volterra Model

... the stochastic delay Lotka-Volterra is different from Mao et ...another stochastic delay subclass of the Lotka-Volterra model which is different from Mao et ...the stochastic delay model ...

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NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS

NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS

... In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the ...

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Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems

Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems

... ferential equation y ′ = f(x, y) we may attach two different integral equations, while in the case of differentiability in the sense of the Definition of H-differentiable, we may at- tach only ...integral ...

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Asymptotics of integrodifferential models
with integrable kernels II

Asymptotics of integrodifferential models with integrable kernels II

... of Volterra integral equations that this problem has a continuous solution y(t; ε), 0 ≤ t ≤ T , for all ε > ...integrodifferential equation suggests a regular approximation of the ...

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Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane

Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane

... We can solve integro-differential equations with some basis functions by the Haar and rationalized function methods [4–8], Adomian decomposition method [9], Legen- dre wavelets method [10], RBFs collocation method [11], ...

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Stochastic Volterra integral equations with a parameter

Stochastic Volterra integral equations with a parameter

... of stochastic differential equations (SDEs), including SDEs with parameters, is an important topic in stochastic ...in stochastic control (see, ...

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Fuzzy bivariate Chebyshev method for solving fuzzy Volterra-Fredholm integral equations

Fuzzy bivariate Chebyshev method for solving fuzzy Volterra-Fredholm integral equations

... Keywords : F uzzy numbers; F uzzy Volterra-Fredholm integral equation; Fuzzy bivariate Chebyshev.. method; Dual fuzzy linear system; Nonnegative matrix.[r] ...

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Numerical Solution of Freholm Volterra Integral  Equations by Using Scaling Function Interpolation Method

Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method

... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...of Volterra integral equations and Freholm-Volterra integral ...solving Volterra integral ...

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