%0 Journal Article
%T The non-linear Dodson diffusion equation: Approximate solutions and beyond with formalistic fractionalization
%A Hristov, Jordan
%J Mathematics in Natural Science
%D 2017
%V 1
%N 1
%@ ISSN 2600-7665
%F Hristov2017
%X The Dodson mass diffusion equation with exponentially diffusivity is analyzed through approximate integral solutions.
Integral-balance solutions were developed to integer-order versions as well as to formally fractionalized models. The formal
fractionalization considers replacement of the time derivative with a fractional version with either singular (Riemann-Liouville
or Caputo) or non-singular fading memory. The solutions developed allow seeing a new side of the Dodson equation and
to separate the formal fractional model with Caputo-Fabrizio time derivative with an integral-balance allowing relating the
fractional order to the physical relaxation time as adequate to the phenomena behind.
%9 journal article
%R 10.22436/mns.01.01.01
%U http://dx.doi.org/10.22436/mns.01.01.01
%P 1--17