STOCHASTIC ANALYSIS AND APPLICATIONS

Stationary distribution and extinction of a stochastic one-prey two-predator model with Holling type II functional response

Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions

Selection theorems for set-valued stochastic integrals

Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay

Dynamical behavior of a hybrid switching SIS epidemic model with vaccination and Lévy jumps

Nonparametric estimation of trend for stochastic differential equations driven by mixed fractional Brownian motion

A novel approach for stochastic solutions of wick-type stochastic time-fractional Benjamin–Bona–Mahony equation for modeling long surface gravity waves of small amplitude

Random attractors for stochastic differential equations driven by two-sided Lévy processes

An SDE model for deterioration of rock surfaces

Rate of convergence in the Breuer-Major theorem via chaos expansions

Hermite–Hadamard’s inequality for pseudo-fractional integral operators

Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion

An inverse first-passage problem revisited: the case of fractional Brownian motion, and time-changed Brownian motion

On Bernstein processes of maximal entropy

On the convolution of Mittag–Leffler distributions and its applications to fractional point processes

Large deviation principle for reflected Poisson driven stochastic differential equations in epidemic models

Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type p and martingale type p Banach spaces

Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise

Existence, uniqueness, and numerical approximations for stochastic Burgers equations

On impulsive Hilfer fractional stochastic differential system driven by Rosenblatt process

Nonparametric estimation of linear multiplier for processes driven by subfractional Brownian motion

Modeling plant disease with biological control of insect pests

Random and stochastic disturbances on the input flow in chemostat models with wall growth

Carathéodory approximate solutions for a class of perturbed stochastic differential equations with reflecting boundary

Stochastic semi-linear degenerate parabolic model with multiplicative noise and deterministic non-autonomous forcing

Remark on pathwise uniqueness of stochastic differential equations driven by Lévy processes

Ultracontractivity for Brownian motion with Markov switching

A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations

Time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise

The application of multi-dimensional Jensen’s inequality for G-martingale

Approximate controllability of a fractional stochastic partial integro-differential systems via noncompact operators

A curious application of the Borel-Cantelli Lemmas, a result of Barndorff-Nielsen, and some open problems

Wong–Zakai approximations with convergence rate for stochastic partial differential equations

Convergence theorems for adapted sequences of random sets

Continuous Breuer-Major theorem for vector valued fields

Harnack and super poincaré inequalities for generalized Cox-Ingersoll-Ross model

Martingale representation theorem for G-Brownian motion

Quantized stabilization of stochastic systems with multiplicative noise under Markovian switching

Non-linear expectations in spaces of Colombeau generalized functions

Density estimates and central limit theorem for the functional of fractional SDEs

Estimation of intrinsic growth factors in a class of stochastic population model

Moderate deviations for a class of semilinear SPDE with fractional noises

Modeling dynamics of the spread of crime in a society

Existence of solutions and stability for impulsive neutral stochastic functional differential equations