Exact solutions to a class of time fractional evolution systems with variable coefficients

DOI10.1063/1.5035392zbMath1403.35312OpenAlexW2886078447MaRDI QIDQ4586470

Uuganbayar Zunderiya, Khongorzul Dorjgotov, Hiroyuki Ochiai

Publication date: 13 September 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5035392

zbMATH Keywords

invariant solutionsinfinitesimal symmetriesfractional evolution systemsLie group anlaysis

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Wave equation (35L05) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

Exact solutions to a class of time fractional evolution systems with variable coefficients ⋮ Existence of series solutions for certain nonlinear systems of time fractional partial differential equations ⋮ On solutions of linear fractional differential equations and systems thereof

Uses Software

• DLMF
• FracSym

Cites Work

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• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• Lie symmetries and group classification of a class of time fractional evolution systems
• On invariance properties of the wave equation
• Subalgebras of real three- and four-dimensional Lie algebras
• Exact solutions to a class of time fractional evolution systems with variable coefficients
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Mittag-Leffler Functions, Related Topics and Applications
• Comment on “Lie symmetries and group classification of a class of time fractional evolution systems” [J. Math. Phys. 56, 123504 (2015)]

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