Results 41 to 50 of about 3,197,328 (188)

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah, Aman Ullah, Kamal Shah, Dumitru Baleanu   +3 more
doaj   +1 more source

Some Numerical Techniques For Solving Nonlinear Fredholm-Volterra Integral Equation [PDF]

, 2018
in this paper, the existence and uniqueness of the solution of nonlinear Fredholm-Volterra integral equations is consider (NF-VIE) with continuous kernel, then we use a numerical method to reduce this type of equation to a system of Fredholm integral ...
AL-Bugami, Abeer, Al-Juaid, J. G.
core   +2 more sources

Corrections on A numerical method for solving nonlinear Volterra--Fredholm integral equations

CoRR, 2019
Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{eq:1.1} \begin{equation}\label{eq:1.1} x(t) + \int\limits_a^t {K_1(t,s,x(s)) ds} + \int\limits_a^b {K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{1.1} \end{equation} into a
Ngo Thanh Binh, Khuat Van Ninh
openaire   +3 more sources

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

Mathematics, 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

Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations [PDF]

Computational & Applied Mathematics, 2012
Using the tools offered by interval analysis, the authors compute piecewise constant bounds for the solution of mixed nonlinear Volterra-Fredholm integral equations. They choose the interval enclosures such that it contains the exact solution considering all round-off errors and truncation errors.
Yazdani, S., Hadizadeh, M.
openaire   +4 more sources

Numerical solution of nonlinear Volterra-Fredholm integral equation by using Chebyshev polynomials [PDF]

Mathematical Sciences, 2011
In this paper, we have used Chebyshev polynomials to solve linearand nonlinear Volterra-Fredholm integral equations, numerically.First we introduce these polynomials, then we use them to changethe Volterra-Fredholm integral equation to a linear or ...
R. Ezzati, S. Najafalizadeh
doaj  

A Multiple Iterated Integral Inequality and Applications

Journal 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

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

Algorithms, 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, Ioannis Nestorios Parasidis   +1 more
doaj   +1 more source

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source