A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]
This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Maryam Alipour, Mohammad Ali Vali
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Grassmannian flows and applications to nonlinear partial differential equations
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo +39 more
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
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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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
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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 +2 more
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Solvability of inclusions of Hammerstein type
A fairly general continuation theorem of Leray-Schauder type for the class of so-called admissible multimaps is set forth. This result is then used to establish a universal rule for solving operator inclusions of Hammerstein type in Lebesgue-Bochner ...
Pietkun, Radosław
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Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations
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 ...
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Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations [PDF]
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.
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Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions
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 +3 more
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