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 …

Topological Methods for Differential Equations and Inclusions covers the important topics
involving topological methods in the theory of systems of differential equations. The …

In this paper, the existence, uniqueness and stability of random implicit fractional differential
equations (RIFDs) with nonlocal condition and impulsive effect involving a generalized Hilfer …

This manuscript is devoted to an investigation of the existence, uniqueness and stability of
random differential equations with ψ-Hilfer fractional derivative. The concerned investigation …

The aim of this paper is to study a generalization of fractional Airy differential equations
whose input data (coefficient and initial conditions) are random variables. Under appropriate …

In this article, we study existence and stability of a class of non-instantaneous impulsive
fractional-order implicit differential equations with random effects. First, we establish a …

In this paper, the existence and the uniqueness of mild solutions of random
integrodifferential equations are studied. To obtain random solutions, we develop a new tool …

This paper deals with random fractional differential equations of the form, CD 0+ α X (t)+
AX˙(t)+ BX (t)= 0, t> 0, with initial conditions, X (0)= C 0 and X˙(0)= C 1, where CD 0+ α X (t) …

A fractional forward Euler-like method is developed to solve initial value problems with
uncertainties formulated via the Caputo fractional derivative. The analysis is conducted by …

EXISTENCE RESULTS FOR RANDOM FRACTIONAL DIFFERENTIAL EQUATIONS Vasile
Lupulescu, Donal O’Regan, and Ghaus ur Rahman Page 1 Opuscula Math. 34, no. 4 (2014) …