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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this sequel, we employ an approach that combines the modified version of the Lagrange polynomial approximation technique with the biconjugate gradient stabilized method (BiCGSTAB) to analyze numerical solutions of fractional Volterra integral equations (FVIEs).
Imtiyaz Ahmad Bhat +3 more
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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
Discrete Dynamics in Nature and Society, 2018 We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi +2 more
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Quadrature solution of singular integral equations—I A uniform treatment of fredholm and Volterra equations [PDF]
, 1990 Following the (Bellman-type) differential quadrature method presented by Ȯlaȯfė and Mason [1] for the solution of ordinary and partial differential equations, Ȯlaȯfė [2] presented a new integral quadrature method for the solution of integral ...
Odotlaȯfė, G.O.
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A Multiple Iterated Integral Inequality and Applications
Journal of Applied Mathematics, 2014 We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This work focuses on the analysis of the Volterra–Fredholm integral equation (VFIE) with a weakly singular kernel, which is a transformed form of a partial integrodifferential equation (PIDE) with a weakly singular kernel. We present an approach based on the spectral Tau method for determining the unknown function in the VFIE formulation with respect ...
Javad Shokri +3 more
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Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
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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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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
wiley +1 more source