The Time-fractional Airy Equation on the Metric Graph

DOI10.17516/1997-1397-2021-14-3-376-388OpenAlexW3178191099MaRDI QIDQ5071360

Nasridin M. Zhabborov, Z. A. Sobirov, Kamoladdin Rakhimov

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu922

zbMATH Keywords

fundamental solutionsintegral representationIBVPPDE on metric graphstime-fractional Airy equation

Mathematics Subject Classification ID

Real functions (26-XX) Functions of one variable (26Axx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

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• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• A priori estimates for solutions of boundary value problems for fractional-order equations
• Fractals and fractional calculus in continuum mechanics
• Periodic orbit theory and spectral statistics for quantum graphs
• Airy-type evolution equations on star graphs
• The Korteweg-de Vries equation on a metric star graph
• Linearized KdV equation on a metric graph
• Well-posed boundary value problems for linear evolution equations on a finite interval
• The Korteweg-de Vries equation on an interval
• Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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