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Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law

  • Published:2018-02 Issue: Volume:492 Page:2316-2335
  • ISSN:0378-4371
  • Container-title:Physica A: Statistical Mechanics and its Applications
  • language:en
  • Short-container-title:Physica A: Statistical Mechanics and its Applications

Author:

Želi Velibor,Zorica Dušan

Funder

Serbian Ministry of Science, Education and Technological Development

Provincial Government of Vojvodina

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistics and Probability

Reference55 articles.

1. Theory and Applications of Fractional Differential Equations;Kilbas,2006

2. The Cattaneo type space–time fractional heat conduction equation;Atanackovic;Contin. Mech. Thermodyn.,2012

3. A high-order extension for the Cattaneo’s diffusion equation;Alvarez-Ramirez;Physica A,2006

4. On generalized fractional Cattaneo’s equations;Fernandez-Anaya;Physica A,2011

5. The generalized Cattaneo equation for the description of anomalous transport processes;Compte;J. Phys. A: Math. Gen.,1997
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