Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term

DOI10.13108/2016-8-4-111zbMath1463.35504OpenAlexW2588660610MaRDI QIDQ5136205

Stannislav Yur'Evich Lukashchuk

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa357

zbMATH Keywords

symmetrysymmetry reductionfractional diffusion equationinvariant solutionoptimal system of subalgebras

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Fractional partial differential equations (35R11)

Related Items (5)

Anisotropic non-linear time-fractional diffusion equation with a source term: classification via Lie point symmetries, analytic solutions and numerical simulation ⋮ Approximate conservation laws for fractional differential equations ⋮ Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation ⋮ Approximate symmetry group classification for a nonlinear fractional filtration equation of diffusion-wave type ⋮ Групповая классификация, инвариантные решения и законы сохранения нелинейного двумерного ортотропного уравнения фильтрации с дробной производной Римана-Лиувилля по времени

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• Subalgebras of real three- and four-dimensional Lie algebras
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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