Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 80p-93p
Abstract:
The application of Fractional Calculus in combustion science to model
the evolution in time of the radius of an isolated premixed flame ball is
highlighted. Literature equations for premixed flame ball radius are rederived by a new method that strongly simplifies previous ones. These equations are nonlinear time-fractional differential equations of order 1/2
with a Gaussian underlying diffusion process. Extending the analysis to
self-similar anomalous diffusion processes with similarity parameter ν/2 > 0,
the evolution equations emerge to be nonlinear time-fractional differential
equations of order 1−ν/2 with a non-Gaussian underlying diffusion process.
