Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms

DOI10.1016/j.sysconle.2018.09.001zbMath1408.60052OpenAlexW2896479789WikidataQ115340959 ScholiaQ115340959MaRDI QIDQ1729059

Ioannis A. Kougioumtzoglou, Konstantinos B. Liaskos, Athanasios A. Pantelous, Antonios T. Meimaris

Publication date: 27 February 2019

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.09.001

zbMATH Keywords

Hilbert spacestochastic partial differential equationEuler-Bernoulli beamfractional derivativeimplicit analytic solution

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Fractals and fractional calculus in continuum mechanics
• Ordinary differential equations in linear topological spaces. I
• Ordinary differential equations in linear topological space. II
• Cosine families and abstract nonlinear second order differential equations
• One-Parameter Semigroups for Linear Evolution Equations
• Global Existence and Boundedness of Solutions to the Extensible Beam Equation
• Abstract Second-Order Damped McKean-Vlasov Stochastic Evolution Equations
• Stochastic Equations in Infinite Dimensions
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