Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations
type: Item
instance of: scholarly article
title: Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations
zbMATH Open document ID: 1374.34317
author: C. Burgos
author: Juan Cortés
author: L. Villafuerte
author: R.-J. Villanueva
published in: Chaos, Solitons and Fractals
publication date: 2017-11-13T00:00:00Z
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K37
zbMATH DE Number: 6806341
zbMATH Keywords: random mean square Riemann-Liouville integral
zbMATH Keywords: random mean square Caputo derivative
zbMATH Keywords: random fractional linear differential equation
zbMATH Keywords: random Fröbenius method
MaRDI profile type: Publication
full work available at URL: j.chaos.2017.02.008
OpenAlex ID: W2592139554
cites work: Uncertainty quantification. Theory, implementation, and applications
cites work: Stochastic differential equations. An introduction with applications.
cites work: Random differential equations in science and engineering
cites work: On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density
cites work: Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique
cites work: Mean square convergence of the numerical solution of random differential equations
cites work: Numerical solution of stochastic differential equations by second order Runge-Kutta methods
cites work: Q5699297
cites work: Synchronization in a nonidentical fractional order of a proposed modified system
cites work: Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations
cites work: Dynamics of a fractional derivative type of a viscoelastic rod with random excitation
cites work: Existence results for random fractional differential equations
cites work: Q5506604
cites work: A relationship between three analytical approaches to nonlinear problems
cites work: Polynomial chaos for random fractional order differential equations
cites work: Random differential operational calculus: theory and applications
cites work: Q4003764
cites work: A mean square chain rule and its application in solving the random Chebyshev differential equation
cites work: Analytic-numerical approximating processes of diffusion equation with data uncertainty
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1)
cites work: Random Airy type differential equations: mean square exact and numerical solutions
cites work: Solving the random Legendre differential equation: mean square power series solution and its statistical functions
cites work: Q4131338
DOI: 10.1016/J.CHAOS.2017.02.008
description: scientific article; zbMATH DE number 6806341