Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1683

 Title: Nonlinear Time-Fractional Differential Equations in Combustion Science Authors: Pagnini, Gianni Keywords: Time-Fractional DerivativeNonlinear EquationAnomalous DiffusionCombustion SciencePremixed Flame Ball Issue Date: 2011 Publisher: 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. Description: MSC 2010: 34A08 (main), 34G20, 80A25 URI: http://hdl.handle.net/10525/1683 ISSN: 1311-0454 Appears in Collections: 2011

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