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Some new exact results for non-linear space-fractional diffusivity equations

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Publication:2050299
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DOI10.1007/978-3-030-69236-0_5zbMath1472.35429OpenAlexW3183355108MaRDI QIDQ2050299

Ettore Salusti, Arrigo Caserta, Roberto Garra

Publication date: 30 August 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-69236-0_5


zbMATH Keywords

fluid flow in porous mediumnonlinear space-fractional diffusivity equations


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)




Cites Work

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  • Construction of exact solutions for fractional order differential equations by the invariant subspace method
  • A fractional porous medium equation
  • Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media
  • Spatial fractional Darcy's law to quantify fluid flow in natural reservoirs
  • Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
  • Nonlinear time-fractional dispersive equations
  • The fundamental solution of the space-time fractional diffusion equation
  • The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
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