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Grigoletto, E.C. and Capelas de Oliveira, E. (2013) Fractional Versions of the Fundamental Theorem of Calculus. Applied Mathematics, 4, 23-33.
https://doi.org/10.4236/am.2013.47A006

has been cited by the following article:

• TITLE: Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection

  AUTHORS: Felix Silva Costa, Marta Raquel Araujo Pereira

  KEYWORDS: Fractional Convection-Diffusion, Riesz Derivative, Travelling Wave, Wavefront

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.2, February 24, 2017

  ABSTRACT: In this paper we investigate anomalous diffusion coupled with linear convection, using fractional calculus to describe the anomalous associated memory effects in diffusive term. We get an explicit travelling wave solution, wavefront, with finite propagation. We comment the properties of the solution, including the stationary case.