Nonlinear time-fractional differential equations in combustion science

DOI10.2478/s13540-011-0006-8zbMath1273.34013OpenAlexW2043703331MaRDI QIDQ2853347

Gianni Pagnini

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10525/1683

zbMATH Keywords

anomalous diffusionpremixed flame balltime-fractional derivative nonlinear equation

Mathematics Subject Classification ID

Combustion (80A25) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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Cites Work

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• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Abel integral equations. Analysis and applications
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• A threshold phenomenon in the propagation of a point source initiated flame
• Dynamique d'un modèle intégro-différentiel de flamme sphérique avec pertes de chaleur
• An asymptotic fractional differential model of spherical flame
• The fundamental solution of the space-time fractional diffusion equation
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• On a Model of Flame Ball with Radiative Transfer
• Fractional diffusion: probability distributions and random walk models