Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method
The purpose of the paper is to find an approximate solution of the two-dimensional nonlinear fuzzy Volterra integral equation, as homotopy analysis method (HAM) is applied.
Georgieva Atanaska
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Solvability of Nonlinear Integral Equations of Volterra Type [PDF]
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
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The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
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Numerical Solutions of a Class of Nonlinear Volterra Integral Equations [PDF]
We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous functions over a ...
H. S. Malindzisa, M. Khumalo
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On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations [PDF]
Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions ...
E. Messina +3 more
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Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Sergiu Aizicovici, Vasile Staicu
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On a Hilfer Type Fractional Differential Equation with Nonlinear Right-Hand Side [PDF]
In this article we consider the questions of one-valued solvability and numerical realization of initial value problem for a nonlinear Hilfer type fractional differential equation with maxima.
T. K. Yuldashev +2 more
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
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 +3 more
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Admissibility and Nonlinear Volterra Integral Equations [PDF]
Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
openaire +2 more sources
Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
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