Results 41 to 50 of about 7,017 (197)

A local meshless radial basis functions based method for solving fractional integral equations [PDF]

open access: yesComputational Algorithms and Numerical Dimensions, 2023
This paper presents a Localized Radial Basis Functions Collocation Method (LRBFCM) for numerically solving one and 2-dimensional Fractional Integral Equations (2D-FIEs).
Mehdi Radmanesh, Mohammad Ebadi
doaj   +1 more source

A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions [PDF]

open access: yes, 2014
We study the analog of semi-separable integral kernels in $\mathcal{H}$ of the type $$ K(x,x')=\begin{cases} F_1(x)G_1(x ...
Gesztesy, Fritz, Nichols, Roger
core   +1 more source

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

open access: yesJournal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations

open access: yesAlexandria Engineering Journal, 2016
In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
doaj   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

open access: yesMathematics, 2020
Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness
Maria Dobriţoiu
doaj   +1 more source

A Symbolic Method for Solving a Class of Convolution-Type Volterra–Fredholm–Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions

open access: yesAlgorithms, 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
doaj   +1 more source

Conditioning bounds for traveltime tomography in layered media [PDF]

open access: yes, 2011
This paper revisits the problem of recovering a smooth, isotropic, layered wave speed profile from surface traveltime information. While it is classic knowledge that the diving (refracted) rays classically determine the wave speed in a weakly well-posed ...
Abramowitz M   +18 more
core   +3 more sources

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

open access: yes, 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   +2 more
core   +1 more source

The product Nystr–m method and Volterra-Hammerstien Integral Equation with A Generalized Singular Kernel [PDF]

open access: yes, 2014
In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while the Fredholm integral term (FIT ...
AL-Bugami, Abeer Majed
core   +1 more source

A Multiple Iterated Integral Inequality and Applications

open access: yesJournal of Applied Mathematics, 2014
We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
doaj   +1 more source

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