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Nonlinear Time-fractional Differential Equations in Combustion Science by Gianni Pagnini is a Mathematics article available to read on EtoBox.

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## Dedicated to Professor R. Gorenflo on the occasion of his 80th birthday 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.

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Author

Gianni Pagnini

Publisher

Springer Science and Business Media LLC

Published

2011

Language

EN

Field

Mathematics (Physical Sciences)