Results 61 to 70 of about 303 (178)
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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Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV‐FIE) and the necessary conditions for a unique solution. The first step is to convert the NV‐FIE into a system of nonlinear Fredholm integral equations (NFIEs) using the splitting of the time interval. Analytical and semianalytical approaches
Sameeha Ali Raad +2 more
wiley +1 more source
Integral equations for the wave function of particle systems
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019 Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
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Homotopy perturbation method for the mixed Volterra–Fredholm integral equations
Chaos, Solitons & Fractals, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Block‐by‐Block Method for Solving Nonlinear Volterra‐Fredholm Integral Equation [PDF]
Mathematical Problems in Engineering, 2010 We consider a nonlinear Volterra‐Fredholm integral equation (NVFIE) of the second kind. The Volterra kernel is time dependent, and the Fredholm kernel is position dependent. Existence and uniqueness of the solution to this equation, under certain conditions, are discussed.
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Solvability of Implicit Fractional Systems With Nonlocal Conditions in Weighted Functional Spaces
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper investigates the existence and uniqueness of solutions for a class of nonlinear implicit Riemann–Liouville fractional integro‐differential equations subject to nonlocal conditions in a weighted Banach space. The inclusion of both implicit effects and nonlocal terms introduces additional complexity, making the analysis both challenging and ...
Abdulrahman A. Sharif +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan +3 more
wiley +1 more source
Journal of Mathematics, 2020 We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
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Existence and Uniqueness of Solutions for Certain Nonlinear Mixed Type Integral and Integro-Differential Equations [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 The aim of this paper is to study the existence, uniqueness and other properties of solutions of certain Volterra-Fredholm integral and integro differential equations.
Akram Mahmood, Lamyaa Sadoon
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This article extends a spectral collocation approach based on Lucas polynomials to numerically solve the integrodifferential equations of both Volterra and Fredholm types for multi–higher fractional order in the Caputo sense under the mixed conditions. The new approach focusses on using a matrix strategy to convert the supplied equation with conditions
Shabaz Jalil Mohammedfaeq +4 more
wiley +1 more source