Symmetry classification of time-fractional diffusion equation

DOI10.1016/J.CNSNS.2016.05.022zbMath1473.35632OpenAlexW2418850467MaRDI QIDQ2004837

Imran Naeem, M. Danish Khan

Publication date: 7 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.2016.05.022

zbMATH Keywords

group classificationRiemann-Liouville fractional derivativefractional diffusion equation

Mathematics Subject Classification ID

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

Related Items (3)

Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD

Uses Software

• FracSym

Cites Work

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• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Fractional diffusion and wave equations
• The fractional diffusion equation
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
• Advances in Fractional Calculus
• Cauchy problems of fractional order and stable processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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