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Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations
Journal of Applied Nonlinear Dynamics, 2021Summary: The main object of the present paper is to study the behavior of the approximated solutions of the nonlinear mixed Volterra-Fredholm integral equations by using Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM).
Hamoud, Ahmed A. +2 more
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Numerical approaches for systems of Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CALIO', FRANCA +3 more
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Modified decomposition method for nonlinear Volterra–Fredholm integral equations
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bildik, Necdet, Inc, Mustafa
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On Volterra-Fredholm integral equations
Periodica Mathematica Hungarica, 1993The 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Payel +2 more
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On Volterra–Fredholm Equations with Partial Integrals
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhong, Jiang, Wei
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On a certain Volterra-Fredholm integral equation
Journal of Interdisciplinary MathematicsThe presence of these solutions is established by employing well-established fixed point theorems in Banach spaces. The aim of this research is to study the existence and unique characteristics of continuous solutions within compact intervals for specific integral equations.
Lamiaa H. Al-Taee +2 more
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Volterra-Fredholm Integral Equations
2011The Volterra-Fredholm integral equations [1–2] arise from parabolic boundary value problems, from the mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and biological models. The Volterra-Fredholm integral equations appear in the literature in two forms, namely $$u\left( x \right) = f\left( x \right)
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A computational method for system of Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maleknejad, K., Fadaei Yami, M. R.
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