Lie group method and fractional differential equations

DOI10.22436/jnsa.010.08.13zbMath1424.22009OpenAlexW2744370258WikidataQ115230051 ScholiaQ115230051MaRDI QIDQ4632565

Hassan A. Zedan, Mohamed M. Alshamrani, M. abu-Nawas

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.08.13

zbMATH Keywords

nonlinear partial differential equationsLie group methodsymmetry analysis

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Linear algebraic groups and related topics (20Gxx) Lie groups (22Exx)

Related Items (1)

Symmetry analysis of space-time fractional Poisson equation with a delay

Cites Work

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• On group invariant solutions of fractional order Burgers-Poisson equation
• Construction of exact solutions for fractional order differential equations by the invariant subspace method
• Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
• A novel class of solutions for the \((2+1)\)-dimensional higher-order Broer-Kaup system
• The homotopy analysis method for handling systems of fractional differential equations
• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
• Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
• Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
• Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation
• Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation
• Group-Invariant Solutions of Fractional Differential Equations

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