Results 21 to 30 of about 3,163,886 (311)
Numerical methods for stochastic Volterra integral equations with weakly singular kernels [PDF]
IMA Journal of Numerical Analysis, 2020 In this paper we first establish the existence, uniqueness and Hölder continuity of the solution to stochastic Volterra integral equations (SVIEs) with weakly singular kernels, with singularities $\alpha \in (0, 1)$ for the drift term and $\beta \in (0,
Min Li, Chengming Huang, Yaozhong Hu
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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.
A. Georgieva
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Optimal control of forward-backward stochastic Volterra equations [PDF]
, 2016 We study the problem of optimal control of a coupled system of forward-backward stochastic Volterra equations. We use Hida-Malliavin calculus to prove a sufficient and a necessary maximum principle for the optimal control of such systems.
N. Agram, Bernt Oksendal, Samia Yakhlef
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Extended backward stochastic Volterra integral equations and their applications to time-Inconsistent stochastic recursive control problems [PDF]
Mathematical Control and Related Fields, 2020 In this paper, we study extended backward stochastic Volterra integral equations (EBSVIEs, for short). We establish the well-posedness under weaker assumptions than the literature, and prove a new kind of regularity property for the solutions.
Yushi Hamaguchi
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Stochastic Volterra integral equations with a parameter
Advances in Difference Equations, 2017 In this paper, we study the properties of continuity and differentiability of solutions to stochastic Volterra integral equations and backward stochastic Volterra integral equations depending on a parameter.
Yanqing Wang
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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 +2 more
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Boundary Value Problems For Integrable Equations Compatible With The Symmetry Algebra [PDF]
, 1994 Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry-Dym, KdV and MKdV equations and the Volterra chain are discussed. We
Burak Gürel +4 more
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Ain Shams Engineering Journal, 2018 In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of integral equations and applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Predicting solutions of the Lotka‐Volterra equation using hybrid deep network
Theoretical and Applied Mechanics Letters, 2022 Prediction of Lotka-Volterra equations has always been a complex problem due to their dynamic properties. In this paper, we present an algorithm for predicting the Lotka-Volterra equation and investigate the prediction for both the original system and ...
Zi-Fei Lin +3 more
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