Results 41 to 50 of about 310 (173)
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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On The Solution of Existence of Nonlinear Integral-and Integrodifferential Equations [PDF]
مجلة التربية والعلم, 2018 In this paper we study the existence and uniqueness for mixed Volterra – Fredholm integral and integrodifferential equations By using the extensions of Banach's contraction principle in complete cone metric ...
Noora L. Husein
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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
wiley +1 more source
Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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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
wiley +1 more source
Journal of Applied Mathematics, 2012 A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
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On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed +3 more
wiley +1 more source
On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Analysis of Spectral Tau Method for Approximate Solution of Fourth‐Order BVP in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This research explores the effectiveness of the spectral Tau method for solving fourth‐order differential boundary value problem (FBVP). We transform this FBVP into a Volterra–Fredholm integral equation (VFIE). By applying Banach’s fixed‐point theorem, we investigate the existence and uniqueness of the solution for the VFIE form of the FBVP equation ...
Javad Shokri, Smritijit Sen
wiley +1 more source
An approximate solution for a mixed linear Volterra–Fredholm integral equation
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Chen 0008, Wei Jiang 0012
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