Volterra Integral Equations(VIEs)
Neumann method for solving conformable fractional Volterra integral equations
... differential equations (FDEs) and fractional integral equations ...fractional integral equations (see [2–6, 8–14, 26, ...of Volterra integral equations in the sense ...
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Exact solutions of nonlinear interval Volterra integral equations
... interval Volterra integral equations are introduced, then the new method based on the modification of Laplace decomposi- tion method in two step is ...
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On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method
... A random simulation method was used for treatment of systems of Volterra integral equations of the second kind. Firstly, a linear algebra system was obtained by discretization using quadrature ...
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A New Technique for Approximate Solutions of the Nonlinear Volterra Integral Equations of the Second Kind
... nonlinear Volterra integral equations by an optimiza- tion method that is based on some principles of measure theory, functional analysis and linear ...nonlinear Volterra integral ...
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A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and its derivatives. ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... Abstract— In the present paper, we solve numerically Volterra integral equations of second kind with regular and singular kernels by given a numerical algorithm to solve the equation. Numerical ...
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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL
... nonlinear Volterra integral equation with weakly ...singular integral equations of the second ...perturbed Volterra integral equations, whereas Kilbas and Saigo [21] used ...
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Numerical Method for solving Volterra Integral Equations with a Convolution Kernel
... In this paper, Volterra integral equations were first reduced to algebraic equations using the Laplace transform. We obtained a series that was uniformly convergent to the exact solution after ...
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ...
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Numerical solution of the system of Volterra integral equations of the first kind
... of Volterra integral equations of the first ...linear integral equations were considered, but examples were investigated for non-linear ...
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Spectral Methods for Volterra Integral Equations
... many Volterra integral equations are usually ...nonlinear Volterra integral equations was used by Brunner and Tang ...nonlinear Volterra integral equations ...
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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... view integral equations as extensions of linear systems of algebraic ...An integral equation maybe interpreted as an analogue of a matrix equation which is easier to ...transform integral ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... weakly singular Volterra integral equations (possibly originated from a boundary value problem) when smoothness of the solution is known. This method is weaker than the previously reported well- ...
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Cordial Volterra Integral Equations with Vanishing Delays*
... Cordial Volterra integral equations (CVIEs) from some applications models associated with a noncompact cordial Volterra integral operator are discussed in the recent ...cordial ...
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Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... for integral equations such as implicitly linear collo- cation methods [1], product integration method [2], Her- mite-type collocation method [3] and analytical (semi- analytical) techniques such as Adomian ...
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A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials
... In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the ...
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Singularly perturbed Volterra integral equations with weakly singular kernels
... The method of additive decomposition which works for ordinary differential equa- tions and integral equations with continuous kernel (cf. [1, 9, 12, 13, 16]) is used here. Problems of the type (1.1) do not ...
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Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations
... noncompactness. Our fixed point results extend and improve several earlier results in the literature. In particular, our results encompass the analogues of Krasnosel’skii’s and Sadovskii’s fixed point theorems for ...
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Stochastic Volterra integral equations with a parameter
... The theory of stochastic differential equations (SDEs), including SDEs with parameters, is an important topic in stochastic processes. There exists much research work on this topic (see, e.g., [–]). SVIEs, as a ...
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Periodic solutions of Volterra integral equations
... + it follows from yt is a continuous and bounded function on R A4 and AS that kt,sysds is bounded and uniformly continuous on R Thus, from 1.3 and AI we see that the function yt is bound[r] ...
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