Results 81 to 90 of about 3,012,051 (188)

An Effective Numerical Approach for Fractional Integro‐Differential Systems Using Shifted Airfoil Polynomials

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro‐differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions.
Saeed Althubiti, Chang Phang
wiley   +1 more source

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

Estimates on some power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales

Advances in Difference Equations, 2017
In this paper, some explicit bounds on solutions to a class of new power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales are established, which can be used as effective tools in the study of certain dynamic equations ...
Jiangfeng Wang, Fanwei Meng, Juan Gu
doaj   +1 more source

Contraction‐Type Fixed‐Point Theorem for Bivariate/Multivariate Self‐Mappings in Fuzzy Banach Spaces and Hyers–Ulam Stability of Multivariate Functional Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park, Erhan Güler   +4 more
wiley   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

On the Robustness of Dirichlet–Neumann Coupling Schemes for Fluid‐Structure‐Interaction Problems With Nearly‐Closed Fluid Domains

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT The partitioned approach for fluid‐structure interaction (FSI) simulations involves solving the structural and flow field problems sequentially. This approach allows separate settings for the fluid and solid subsystems, ensuring modularity and leveraging advanced commercial and open‐source software capabilities to offer increased flexibility ...
A. Aissa‐Berraies, F. A. Auricchio, G. J. van Zwieten, E. H. van Brummelen   +3 more
wiley   +1 more source

A computational method based on hybrid of block-pulse functions and Taylor series for solving two-dimensional nonlinear integral equations

Alexandria Engineering Journal, 2014
In this paper, a new reliable technique, which is based on hybrid functions approximation, is introduced for the approximate solutions of two-dimensional nonlinear Fredholm and Volterra integral equations. The properties of block-pulse functions together
Farshid Mirzaee, Ali Akbar Hoseini
doaj   +1 more source

A modified homotopy perturbation method for solving the nonlinear mixed Volterra–Fredholm integral equation

Journal of Computational and Applied Mathematics, 2013
The purpose of this paper is to obtain the approximation solution of the strongly nonlinear mixed Volterra-Fredholm integral equation (VFIE). For some strongly nonlinear problems, the traditional homotopy perturbation method is divergent, so we propose a modified homotopy perturbation method which is still convergent when solving the strongly nonlinear
Chunhuan Dong, Zhong Chen 0008, Wei Jiang 0012   +2 more
openaire   +1 more source

Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]

, 2021
This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Mohammad Ali Vali, Alipour, Maryam, Vali, Mohammad Ali, Maryam Alipour   +3 more
core   +1 more source