Results 1 to 10 of about 489,408 (213)
On the properties of the solution set map to Volterra integral inclusion [PDF]
Topol. Methods Nonlinear Anal. 49(2017), 715-737, 2018 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map, corresponding to this Volterra integral equation, possesses a continuous singlevalued selection ...
Pietkun, Radosław
arxiv +3 more sources
On Solutions of a Nonlinear Erdélyi-Kober Integral Equation [PDF]
Abstract and Applied Analysis, 2014 We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev +2 more
doaj +3 more sources
Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov +2 more
doaj +2 more sources
Open Mathematics, 2022 The Picard iteration method is used to study the existence and uniqueness of solutions for the stochastic Volterra-Levin equation with variable delays. Several sufficient conditions are specified to ensure that the equation has a unique solution.
Jin Shoubo
doaj +1 more source
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
doaj +1 more source
Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
Advances in Difference Equations, 2020 In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
doaj +1 more source
Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
Mathematics and Computational Sciences, 2020 In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
doaj +1 more source
Cascade-Forward Neural Network for Volterra Integral Equation Solution
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
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Fractal and Fractional, 2020 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
doaj +1 more source
Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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