Results 1 to 10 of about 195 (150)

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
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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
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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
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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
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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
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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

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
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An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

Fractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty   +3 more
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Estimation on solutions of a class of generalized nonlinear Volterra-Fredholm type integral inequalities with applications

上海师范大学学报. 自然科学版, 2015
We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, where a known function σ1(s) in integral functions in [Ma, QH, Peˇcari´c, J: Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type ...
WANG Wusheng, ZHOU Xiaoliang
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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
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