Results 51 to 60 of about 250 (173)

An Effective Interpolation Numerical Technique for Solutions of Fractional Volterra Integral Equations

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, Lakshmi Narayan Mishra, Mehmet Yavuz, Sayed Pouria Talebi   +3 more
wiley   +1 more source

Degenerate method in mixed nonlinear three dimensions integral equation

Alexandria Engineering Journal, 2019
In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
doaj   +1 more source

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

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, Wenbin Bao, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

Existence and Stability Analysis of Nonlinear Volterra-Fredholm Integral Equations

Proceedings of the International Conference on Applied Innovations in IT
The aim of this paper is to prove the existence and uniqueness of a solution for a Volterra-Fredholm nonlinear integral equation in two variables under certain conditions, for example, Using the Lipschitz condition with Banach's space contraction ...
Shahab A. Hassan, Noor H. Abdullah, Waleed A. Saeed   +2 more
doaj   +1 more source

Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials

Advances in Mathematical Physics, 2022
The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
doaj   +1 more source

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

Open Mathematics
In 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., Assanova Anar T., Kadirbayeva Zhazira M.   +2 more
doaj   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

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, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

A homotopy perturbation algorithm to solve a system of Fredholm–Volterra type integral equations

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Solvability of some integral equations in Hilbert spaces

Electronic Journal of Differential Equations, 2004
We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
doaj