This paper investigates the existence and uniqueness of mild solutions for a class of
nonlinear fractional Sobolev-type stochastic differential equations in Hilbert spaces. In this …

Under certain nonlinear growth conditions of the nonlinearity, we investigate the existence of
solutions for a nonlinear Hadamard type fractional differential equation with strip condition …

In this paper, we provide a general framework for investigating McKean-Vlasov stochastic
partial differential equations. We first show the existence of weak solutions by combining the …

In this paper, we concern a Hadamard-type fractional-order turbulent flow model with
deviating arguments. By using some standard fixed point theorems, the uniqueness …

In this work the existence and uniqueness of strong solutions are established for a class of
stochastic integral evolution equations with locally monotone and non-Lipschitz coefficients …

In this paper, we study the questions of the existence of global weak solutions and local
strong solutions of paired stochastic functional differential equations in a Hilbert space, one …

We prove that distribution dependent (also called McKean--Vlasov) stochastic delay
equations of the form\begin {equation*}\mathrm {d} X (t)= b (t, X_t,\mathcal {L} …

In this paper, we study the classical Keller-Segel system on a two-dimensional domain
perturbed by a pair of Wiener processes, where the leading diffusion term is replaced by a …

Consider d-dimensional magneto-hydrodynamic (MHD) equations with fractional
dissipations driven by multiplicative noise. First, we prove the existence of martingale …

We prove a version of the Ambrosio–Figalli–Trevisan superposition principle for a restricted
subclass of solutions to the Fokker–Planck–Kolmogorov equation that is valid on separable …