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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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Volterra–Fredholm integral equation of the first kind and spectral relationships
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Abdou 0001, F. A. Salama
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On a class of nonlinear Volterra-Fredholm q-integral equations
Fractional Calculus and Applied Analysis, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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A meshless approximate solution of mixed Volterra–Fredholm integral equations
International Journal of Computer Mathematics, 2013This paper presents a meshless method using a radial basis function collocation scheme for numerical solution of mixed Volterra–Fredholm integral equations, where the region of integration is a non-rectangular domain. We will show that this method requires only a scattered data of nodes in the domain.
Hojatollah Laeli Dastjerdi +2 more
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Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farshid Mirzaee, Seyede Fatemeh Hoseini
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On a Nonlinear Volterra-Fredholm Integral Equation
Sarajevo Journal of MathematicsIn this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results. 2000 Mathematics Subject Classification.
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On solutions of a stochastic integral equation of the Volterra-Fredholm type
1989Summary: The aim of this paper is the study of the mixed random Volterra-Fredholm equation of the form \[ x(t;\omega)=h(t,x(t,\omega))+\int_ 0^ t k_ 1(t,\tau;\omega)f_ 1(\tau,x(\tau;\omega))d\tau+\int_ 0^ \infty k_ 2(t,\tau;\omega)f_ 2(\tau,x(\tau;\omega))d\tau, \] under less restrictive conditions than those of [\textit{W. J. Padgett} and \textit{C. P.
Szynal, Dominik (1937- ) +1 more
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A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations
Fractal and Fractional, 2023Doaa Shokry, Amr Mahdy
exaly

