In this survey, we present an overview of random differential equations, focusing on strong
solutions and methods for estimation of statistics and densities. We combine classical and …

Based on the previous literature about the random logistic and Gompertz models, the aim of
this paper is to extend the investigations to the generalized logistic differential equation in …

We study the random fractional Bateman equations for a radioactive decay chain, in the
Caputo-derivative sense. On the one hand, a fractional order entails memory effects in the …

This paper provides a complete probabilistic description of SIS-type epidemiological models
where all the input parameters (contagion rate, recovery rate and initial conditions) are …

This paper investigates the dynamics behavior of the mathematical model of Human
Immunodeficiency Virus (HIV) influenced by stochastic perturbations. This paper is involved …

This paper deals with the construction of numerical solutions of moving boundary random
problems where the uncertainty is limited to a finite degree of randomness in the mean …

This paper analyses a set of random fractional partial differential equations (rfPDEs) for
water movement in soils. The rfPDEs for both rigid and swelling soils are solved for both a …

In this paper, the Homotopy Analysis Method (HAM) is successfully applied for solving
second-order random differential equations, homogeneous or inhomogeneous. Expectation …

This paper provides a comprehensive probabilistic analysis of a full randomization of
approximate SIR‐type epidemiological models based on discrete‐time Markov chain …

In this study, a modification of the random differential transformation method is given by
using Laplace-Padé method. The modification, which has previously been introduced for the …