Results 1 to 10 of about 889 (148)

Solving linear and nonlinear Volterra Fuzzy Integral Equations System via Differential Transform Method

Fuzzy Optimization and Modeling, 2022
In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM).
Mahmoud Paripour, Mandana Takrimi
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Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

Mathematics and Computational Sciences, 2021
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
doaj   +1 more source

Solvability of Nonlinear Integral Equations of Volterra Type [PDF]

Abstract and Applied Analysis, 2012
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 equation of Volterra type.
Liu, Zeqing, Lee, Sunhong, Kang, Shin Min   +2 more
openaire   +4 more sources

An Algorithm for the Closed-Form Solution of Certain Classes of Volterra–Fredholm Integral Equations of Convolution Type

Algorithms, 2022
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
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A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels

Advances in Difference Equations, 2018
This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind.
Bijan Hasani Lichae, Jafar Biazar, Zainab Ayati   +2 more
doaj   +1 more source

An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari, M. Moradkhani, M.T. Dastjerdi   +2 more
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Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method

Demonstratio Mathematica, 2021
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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APPLICATIONS AND DEVELOPMENT OF A NEW VOLTERRA SCHEME FOR SOLVING NONLINEAR INTEGRAL EQUATIONS [PDF]

Matrix Science Mathematic
Volterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions.
Ishaq A.A., Ayinde A.M, Jimoh F.M, Bello A.K.   +3 more
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A Unified Approach to Some Classes of Nonlinear Integral Equations

Journal of Function Spaces, 2014
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva   +2 more
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Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

Journal of Inequalities and Applications, 2017
In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
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