In this paper, we propose a new algorithm for constructing an integral model of nonlinear dynamic system the “input–output” type in form quadratic segment Volterra integro-power series (polynomial). We consider nonparametric identification models using physically realizable piecewise linear test signals time domain. The advantage presented approach is to obtain explicit formulas calculating tra...

Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations

First, we develop a direct operator method for solving boundary value problems class of nth order linear Volterra–Fredholm integro-differential equations convolution type. The proposed technique is based on the assumption that Volterra bijective and its inverse known in closed form. Existence uniqueness criteria are established exact solution derived. We then apply this to construct form fourth...

in this paper, the variational iteration method for solving nth-order fuzzy integro differential equations (nth-fide) is proposed. in fact the problem is changed to the system of ordinary fuzzy integro-differential equations and then fuzzy solution of nth-fide is obtained. some examples show the efficiency of the proposed method.

In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.

We discuss a possibility to construct high order methods on uniform or mildly graded grids for the numerical solution of linear Volterra integro-differential equations with weakly singular or other nonsmooth kernels. Using an integral equation reformulation of the initial value problem, we apply to it a smoothing transformation so that the exact solution of the resulting equation does not conta...

The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. finite difference scheme constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. recommended second convergent in the discrete maximum norm. Numerical results illustrating ...

Using new and known forms of Lyapunov functionals, this paper proposes new stability criteria for a system of Volterra integro-differential equations.  2003 Elsevier Science (USA). All rights reserved.

s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c ⃝ 2013 University of Tartu THEORETICAL ANALYSIS OF A SINC-NYSTRÖM METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS AND ITS IMPROVEMENT