Beyond the hypothesis of boundedness for the random coefficient of the Legendre differential equation with uncertainties

DOI10.1016/j.amc.2020.125638zbMath1474.34396OpenAlexW3085377947WikidataQ115361178 ScholiaQ115361178MaRDI QIDQ2661032

M. Jornet

Publication date: 1 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125638

zbMATH Keywords

moment-generating functionFrobenius methodrandom differential equationmean square calculusmean fourth calculus

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05)

Related Items (4)

Theory and methods for random differential equations: a survey ⋮ On the random fractional Bateman equations ⋮ Power-series solutions of fractional-order compartmental models ⋮ A note on the mean-square solution of the hypergeometric differential equation with uncertainties

Cites Work

• Random Hermite differential equations: mean square power series solutions and statistical properties
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• Random Airy type differential equations: mean square exact and numerical solutions
• Random differential operational calculus: theory and applications
• Mean square power series solution of random linear differential equations
• Asymptotic analysis of the Bell polynomials by the ray method
• Random differential equations in science and engineering
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• Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties
• Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus
• Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation
• \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay
• Random Differential Equations in Scientific Computing
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