A random Laplace transform method for solving random mixed parabolic differential problems

DOI10.1016/j.amc.2015.02.091zbMath1390.35435OpenAlexW2073996639MaRDI QIDQ1636889

M. C. Casabán, Juan-Carlos Cortés, Lucas Jodar

Publication date: 7 June 2018

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

Full work available at URL: http://hdl.handle.net/10251/63772

zbMATH Keywords

mean square and mean fourth random calculusrandom Laplace transformrandom mixed parabolic equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (7)

Impulse controllability and impulse observability of stochastic singular systems ⋮ Solution processes for second-order linear fractional differential equations with random inhomogeneous parts ⋮ \(\mathrm{Z}^+\)-Laplace transforms and \(\mathrm{Z}^+\)-differential equations of the arbitrary-order, theory and applications ⋮ A survey on random fractional differential equations involving the generalized Caputo fractional-order derivative ⋮ Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach ⋮ Exact observability and stability of stochastic implicit systems ⋮ Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing

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