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An adaptive method for Volterra–Fredholm integral equations on the half line
Journal of Computational and Applied Mathematics, 2009 Motivated by problems arising from real life applications the authors focus on the numerical solution of Volterra-Fredholm integral equations (VFIEs) on unbounded spatial domains, with kernels that present variable peaks along the space. The numerical method presented in this paper, based on a trapezoidal direct quadrature formula along space and time,
CARDONE, Angelamaria +2 more
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THE LUCAS POLYNOMIAL SOLUTION OF LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Matrix Science Mathematic, 2022 In this study, linear Volterra-Fredholm integral equations are approximatively solved in terms of Lucas polynomials about any point in this study using a practical matrix approach. This technique uses collocation points and Lucas polynomials to transform the aforementioned linear Volterra-Fredholm integral problem into a matrix equation.
Deniz Elmaci +2 more
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Linear Operators and Equations with Partial Integrals
Современная математика: Фундаментальные направления, 2019 We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral
A S Kalitvin, V A Kalitvin
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On A General Mixed Volterra-Fredholm Integral Equation
Annals of the Alexandru Ioan Cuza University - Mathematics, 2010 Summary: We study some basic properties of solutions of a general mixed Volterra-Fredholm integral equation. A variant of a certain integral inequality with explicit estimate is obtained and used to establish the results.
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On some Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities
Journal of Inequalities and Applications, 2022 The main aim of this paper is establishing some new Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities, which can be used as auxiliary tools in the study of solutions to fractional differential equations and fractional integral ...
Mohamed Doubbi Bounoua, Jianhua Tang
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Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley +1 more source
On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
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Open MathematicsIn this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A. +2 more
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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