Results 51 to 60 of about 3,012,051 (188)

Numerical solution of the nonlinear Fredholm-Volterra- Hammerstein integral equations via Bessel functions

, 2020
In this paper, a collocation method based on the Bessel polynomials is used for the solution of nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs).
Yadollah Ordokhani, Haniye Dehestani
core   +1 more source

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

Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations

Computers & Mathematics with Applications, 2003
The central object of study in the paper under review is the general nonlinear Volterra-Fredholm integral equation and its numerical treatment. \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comp. 48, 585--593 (1987; Zbl 0616.65142)] introduced an approach to convert the conventional Hammerstein integral equation into a conductive form for ...
openaire   +1 more source

A Novel Numerical Scheme and Analysis of a Nonlinear Nonlocal Equation Modeling Neurodynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Integral operators have been widely employed in biological, medical, and physical models. In this work, we investigate a nonlinear integrodifferential equation involving a convolutional nonlinearity, which represents an important class of models for describing neurodynamical processes.
Samima Akhter, Samir Kumar Bhowmik, Patricia J. Y. Wong   +2 more
wiley   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +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

Approximate solutions for mixed nonlinear Volterra–Fredholm type integral equations via modified block-pulse functions [PDF]

, 2012
In this article a robust approach for solving mixed nonlinear Volterra–Fredholm type integral equations of the first kind is investigated. By using the modified two-dimensional block-pulse functions (M2D-BFs) and their operational matrix of integration ...
Mirzaee, Farshid, Hadadiyan, Elham
core   +1 more source

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

Journal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

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