Results 61 to 70 of about 7,017 (197)

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

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

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E., Javadi, S., Moradi, E., Yousefi, A.   +3 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

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

Initial-boundary value problems for integrable evolution equations with $3 \times 3$ Lax pairs

, 2012
We present an approach for analyzing initial-boundary value problems for integrable equations whose Lax pairs involve $3 \times 3$ matrices. Whereas initial value problems for integrable equations can be analyzed by means of the classical Inverse ...
Lenells, Jonatan
core   +1 more source

Boubaker polynomials collocation approach for solving systems of nonlinear Volterra–Fredholm integral equations

, 2017
Numerical schemes have been developed for solutions of systems of nonlinear mixed Volterra–Fredholm integral equations of the second kind based on the First Boubaker polynomials (FBPs). The classical operational matrices are derived. The unknown has been
Sara Davaeifar, J. Rashidinia
semanticscholar   +1 more source

On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm

Journal of Mathematics, 2020
We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
doaj   +1 more source

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source