Existence of solutions for mixed volterra-fredholm integral equations [PDF]
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Asadollah Aghajani +2 more
core +6 more sources
Solving Volterra-Fredholm integral equations by non-polynomial spline functions
It depends on our information, non-polynomial spline functions have not been applied for solving Volterra- Fredholm integral equations of the second kind yet.
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
doaj +2 more sources
Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations [PDF]
AbstractAn approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations.
Elham Hashemizadeh +2 more
openaire +3 more sources
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj +1 more source
In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
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New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations [PDF]
In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations.
İhsan Timuçin Dolapçı +2 more
doaj +2 more sources
On some Volterra-Fredholm integral equations
Existence, uniqueness and numerical results for some Volterra-Fredholm integral equations are given. To obtain existence and uniqueness Picard operators technique is applied. Numerical method based on collocation using modified q.i. splines is presented. Numerical results are given.
CALIO', FRANCA +2 more
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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On a discussion of Volterra–Fredholm integral equation with discontinuous kernel [PDF]
AbstractThe purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution. By using separation of variables method, the problem is reduced to Volterra integral equations of the ...
M. A. Abdou +2 more
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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