[BOOK][B] Topological methods for differential equations and inclusions
JR Graef, J Henderson, A Ouahab - 2018 - taylorfrancis.com
Topological Methods for Differential Equations and Inclusions covers the important topics
involving topological methods in the theory of systems of differential equations. The …
involving topological methods in the theory of systems of differential equations. The …
Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus
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 …
whose input data (coefficient and initial conditions) are random variables. Under appropriate …
Non-instantaneous impulsive fractional-order implicit differential equations with random effects
D Yang, JR Wang - Stochastic Analysis and Applications, 2017 - Taylor & Francis
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 …
fractional-order implicit differential equations with random effects. First, we establish a …
Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing
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) …
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) …
[HTML][HTML] Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density
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 …
uncertainties formulated via the Caputo fractional derivative. The analysis is conducted by …
Mean square calculus and random linear fractional differential equations: Theory and applications
The aim of this paper is to study, in mean square sense, a class of random fractional linear
differential equation where the initial condition and the forcing term are assumed to be …
differential equation where the initial condition and the forcing term are assumed to be …
A continuous and fractional derivative dependance of random differential equations with nonlocal conditions
This paper deals with a nonlinear random differential equation involving mean square
Caputo fractional derivative. We study the existence and uniqueness of solutions for the …
Caputo fractional derivative. We study the existence and uniqueness of solutions for the …
Extending the deterministic Riemann–Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional …
This paper extends both the deterministic fractional Riemann–Liouville integral and the
Caputo fractional derivative to the random framework using the mean square random …
Caputo fractional derivative to the random framework using the mean square random …
Stability analysis of random fractional-order nonlinear systems and its application
T Jiao, G Zong, Q Zhu, L Wang, H Sun - Communications in Nonlinear …, 2025 - Elsevier
The research on stability analysis and control design for random nonlinear systems have
been greatly popularized in recent ten years, but almost no literature focuses on the …
been greatly popularized in recent ten years, but almost no literature focuses on the …
On initial value problem of random fractional differential equation with impulses
In this paper, we prove the existence and uniqueness of solution for random fractional
differential equation with impulses via Banach fixed point theorem and Schauder fixed point …
differential equation with impulses via Banach fixed point theorem and Schauder fixed point …