Results 61 to 70 of about 6,585 (218)

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

Journal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh, Mohammad Heydari, Wen Chen, G. B. Loghmani   +3 more
doaj   +1 more source

The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w-distances

Advances in Difference Equations, 2017
In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
doaj   +1 more source

Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations

, 2019
In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations.
Bhalekar, Sachin, Hosry, Aline, Nakad, Roger   +2 more
core   +1 more source

He’s variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yousefi, S.A., Lotfi, A., Dehghan, Mehdi
openaire   +2 more sources

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

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
doaj   +1 more source

Legendre multi-wavelets collocation method for numerical solution of linear and nonlinear integral equations

Alexandria Engineering Journal, 2020
In this article, a new collocation technique for numerical solution of Fredholm, Volterra and mixed Volterra-Fredholm integral equations of the second kind is introduced and also developed a numerical integration formula on the basis of linear Legendre ...
Muhammad Asif, Imran Khan, Nadeem Haider, Qasem Al-Mdallal   +3 more
doaj   +1 more source

A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error

Axioms, 2021
In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed.
Mutaz Mohammad, Alexandre Trounev, Mohammed Alshbool   +2 more
doaj   +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

Ulam Type Stability Results of Nonlinear Impulsive Volterra–Fredholm Integro-Dynamic Adjoint Equations on Time Scale

Mathematics, 2023
This paper is dedicated to exploring the existence, uniqueness and Ulam stability analysis applied to a specific class of mathematical equations known as nonlinear impulsive Volterra Fredholm integro-dynamic adjoint equations within finite time scale ...
Syed Omar Shah, Sanket Tikare, Mawia Osman   +2 more
doaj   +1 more source