Double weakly singular kernels in stochastic Volterra integral equations with application to the rough Heston model

Numerical methods for integral equations (65R20) Numerical solutions to stochastic differential and integral equations (65C30) Volterra integral equations (45D05) Stochastic integral equations (60H20) Random integral equations (45R05)

Cites Work

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Malliavin calculus and optimal control of stochastic Volterra equations
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel
Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations
An iterative technique for the numerical solution of nonlinear stochastic Itô-Volterra integral equations
Euler schemes and large deviations for stochastic Volterra equations with singular kernels
Existence and uniqueness of solutions to stochastic Volterra equations with singular kernels and non-Lipschitz coefficients
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
Weakly singular Gronwall inequalities and applications to fractional differential equations
Perfect hedging in rough Heston models
Euler polynomial solutions of nonlinear stochastic Itô-Volterra integral equations
Split-step collocation methods for stochastic Volterra integral equations
Random integral equations with applications to life sciences and engineering
Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method
Stability analysis of split-step \(\theta \)-Milstein method for a class of \(n\)-dimensional stochastic differential equations
Exponential mean-square stability of numerical solutions for stochastic delay integro-differential equations with Poisson jump
A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations
Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation
A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems
Mean-square stability and convergence of a split-step theta method for stochastic Volterra integral equations
Improved \(\vartheta\)-methods for stochastic Volterra integral equations
Asymptotic separation for stochastic Volterra integral equations with doubly singular kernels
Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Itô-Volterra integral equations with \(m\)-dimensional Brownian motion
Theoretical and numerical analysis of the Euler-Maruyama method for generalized stochastic Volterra integro-differential equations
Exponential utility maximization for an insurer with time-inconsistent preferences
Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels
On solutions of a stochastic integral equation of the volterra type with applications for chemotherapy
Mittag-Leffler Functions, Related Topics and Applications
Numerical methods for stochastic Volterra integral equations with weakly singular kernels
Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations

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