An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations. [PDF]
Mohammad M, Trounev A, Cattani C.
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
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
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Solvability of Volterra integral equations of third kind by modified Bernstein operators
In this paper, we apply modified Bernstein operators B m ∗ ( f ) $B^{*}_{m}(f)$ to obtain the solution of Volterra integral equations of third type.
Petro Bwire +2 more
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Angelo B. Mingarelli, Kishin Sadarangani
doaj
Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
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Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind. [PDF]
Narayanamoorthy S, Sathiyapriya SP.
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The Numerical Solution of Volterra Integral Equations
Recently we studied a collocation–quadrature method in weighted L2 spaces as well as in the space of continuous functions for a Volterra-like integral equation of the form u(x)−∫αx1h(x−αy)u(y)dy=f(x),0<x<1, where h(x) (with a possible singularity at x=0) and f(x) are given (in general complex-valued) functions, and α∈(0,1) is a fixed parameter ...
openaire +1 more source
Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
doaj
ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS [PDF]
Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and ...
doaj
A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
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