Analytical Lie group approach for solving fractional integro-differential equations

DOI10.1016/j.cnsns.2017.03.023zbMath1471.45006OpenAlexW2597910651WikidataQ115358618 ScholiaQ115358618MaRDI QIDQ2007398

Yanyan Li

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.03.023

zbMATH Keywords

symmetry groupinfinitesimal generatorprolongationinvariant solutionfractional integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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Cites Work

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• Symmetry group classification for one-dimensional elastodynamics problems in nonlocal elasticity
• Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations
• Group analysis and exact solutions of the time fractional Fokker-Planck equation
• An application of symmetry groups to nonlocal continuum mechanics
• On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• On group invariant solutions of the Boltzmann equation

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