Results 141 to 150 of about 310 (173)
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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
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Taylor polynomial solutions of nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2002
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exaly   +4 more sources

On Volterra-Fredholm integral equations

Periodica Mathematica Hungarica, 1993
The Ważewski method associated with the convergence of successive approximations is used in order to obtain existence and uniqueness results for the functional-integral equation of Volterra-Fredholm type of the form \[ \begin{multlined} x(t)=F \Biggl( t,x(t), \int_ 0^ t f_ 1(t,s,x(s))ds,\dots, \int_ 0^ t f_ n(t,s,x(s))ds,\\ \int_ 0^ T g_ 1(t,s,x(s))ds,\
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Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations

Computational and Applied Mathematics, 2022
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Payel Das   +2 more
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An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2015
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Zhong Chen 0008, Wei Jiang 0012
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Representation of exact solution for the nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2006
This paper is concerned with the existence of the exact solution of the following nonlinear Volterra-Fredholm integral equation \[ u(x)=f(x)+Gu(x), \] where \[ Gu(x)=\lambda_{1}\int_{a}^{x}K_{1}(x,\xi)N_{1}(u(\xi))\,d\xi +\lambda_{2}\int_{a}^{b}K_{2}(x,\xi)N_{2}(u(\xi))\,d\xi, \] \(u(x)\) is the unknown function, \(u(x), \;f(x)\in W^{1}_{2}[a,b], \;N_ ...
Minggen Cui, Hong Du
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A new computational method for Volterra-Fredholm integral equations

open access: yesComputers and Mathematics With Applications, 1999
The decomposition method is applied to mixed Volterra-Fredholm integral equations. The presented method needs the Adomian decomposition series for that the bound is established. The considered theory is illustrated by two numerical examples.
K Maleknejad, M Hadizadeh
exaly   +2 more sources

On the existence and uniqueness of solutions of fuzzy Volterra–Fredholm integral equations

Fuzzy Sets and Systems, 2000
Fuzzy integral equations were introduced by \textit{H. Y. Chen} [J. Math. Anal. Appl. 80, 19-30 (1981; Zbl 0506.45014)] as the method of solution of fuzzy differential equations [cf. also \textit{D. Dubois} and \textit{H. Prade}, Fuzzy Sets Syst. 8, 105-116 (1982; Zbl 0493.28003); \textit{R. Goetschel jun.} and \textit{W. Voxman}, ibid. 18, 31-43 (1986;
Jong Yeoul Park, Jae Ug Jeong
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On a class of nonlinear Volterra-Fredholm q-integral equations

Fractional Calculus and Applied Analysis, 2013
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Volterra–Fredholm integral equation of the first kind and spectral relationships

Applied Mathematics and Computation, 2004
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M. A. Abdou 0001, F. A. Salama
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