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On Volterra Integral Equations on Time Scales
Mediterranean Journal of Mathematics, 2014The following Volterra integral equations are considered: \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(s))\Delta s \] and \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(\sigma(s)))\Delta s, \] where \(x: \mathbb{T}\to \mathbb{R}^n\) is the unknown function, \(g: \mathbb{T}\times\mathbb{T}\times\mathbb{R}^n\to\mathbb{R}^n\) and \(f:\mathbb{T}\to\mathbb{R}^n\) are
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Volterra integral equations and evolution equations with an integral condition
Differential Equations, 2017We suggest a simple method for reducing problems with an integral condition for evolution equations to a Volterra integral equation of the first kind. For Volterra equations of the convolution type, we indicate necessary and sufficient solvability conditions for the case in which the right-hand side lies in some classes of functions of finite ...
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations
Mathematics and Computers in Simulation, 2005Mohsen Razzaghi
exaly
A Solution for Volterra Fractional Integral Equations by Hybrid Contractions
Mathematics, 2019Aydı Hassen +2 more
exaly
Chebyshev wavelets approach for nonlinear systems of Volterra integral equations
Computers and Mathematics With Applications, 2012Jafar Biazar
exaly
A wavelet-based computational method for solving stochastic Itô–Volterra integral equations
Journal of Computational Physics, 2015Fakhrodin Mohammadi
exaly