[1] J. Audounet, V. Giovangigli, J.-M. Roquejoffre, A threshold phenomenon in the propagation of a point source initiated flame. Physica D
121 (1998), 295–316. http://dx.doi.org/10.1016/S0167-2789(98)00153-5 [Crossref]

[2] J. Audounet, J.-M. Roquejoffre, An asymptotic fractional differential model of spherical flame. In: ESAIM: Proceedings Fractional Differential Systems: Models, Methods and Applications 5 (Eds. D. Matignon, G. Montseny), SMAI, Paris (1998), 15–27. http://www.emath.fr/proc/vol.5/

[3] J. D. Buckmaster, G. Joulin, P. D Ronney, The structure and stability of non adiabatic flame balls. Combust. Flame
79 (1990), 381–392. http://dx.doi.org/10.1016/0010-2180(90)90147-J [Crossref]

[4] J. D. Buckmaster, G. Joulin, P. D. Ronney, The structure and stability of non adiabatic flame balls: II. Effects of far field losses. Combust. Flame
84 (1991), 411–422. http://dx.doi.org/10.1016/0010-2180(91)90015-4 [Crossref]

[5] R. Gorenflo, S. Vessella, Abel Integral Equations. Analysis and Applications. Springer-Verlag, Berlin (1991).

[6] R. Gorenflo, R. Rutman, On ultraslow and intermediate processes. In: Transform Methods and Special Functions, Sofia, 1994 (Eds. P. Rusev, I. Dimovski, V. Kiryakova), Science Culture Technology, Singapore (1995), 171–183.

[7] R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order. In: Fractals and Fractional Calculus in Continuum Mechanics (Eds. A. Carpinteri, F. Mainardi), Springer-Verlag Wien and New York (1997), 223–276. http://arxiv.org/abs/805.3823

[8] R. Gorenflo, F. Mainardi, Random walk models for space-fractional diffusion processes. Fract. Calc. Appl. Anal.
1 (1998), 167–191.

[9] R. Gorenflo, Y. Luchko, F. Mainardi, Wright functions as scaleinvariant solutions of the diffusion-wave equation. J. Comput. Appl. Anal.
118 (2000), 175–191.

[10] R. Gorenflo, F. Mainardi, Essentials of Fractional Calculus. Lecture Notes of Mini-Course on Fractional Calculus and Fractional Diffusion Processes by F. Mainardi and R. Gorenflo, at the Centre for Mathematical Physics and Stochastics (Ma-PhySto), University of Aarhus, Denmark, on January 24–28, 2000. http://www.maphysto.dk/oldpages/events/LevyCAC2000/MainardiNotes/fm2k0a.ps

[11] R. Gorenflo, F. Mainardi, D. Moretti, G. Pagnini, P. Paradisi, Discrete random walk models for space-time fractional diffusion. Chemical Physics
284 (2002), 521–541. http://arxiv.org/pdf/cond-mat/0702072 http://dx.doi.org/10.1016/S0301-0104(02)00714-0

[12] V. Guyonne, P. Noble, On a model of flame ball with radiative transfer. SIAM J. Appl. Math.
67 (2007), 854–868. http://dx.doi.org/10.1137/060659612 [Crossref]

[13] G. Joulin, Point-source initiation of lean spherical flames of light reactants: An asymptotic theory. Combust. Sci. Tech.
185 (1985), 99–113. http://dx.doi.org/10.1080/00102208508946999 [Crossref]

[14] E. K. Lenzi, M. K. Lenzi, L. R. Evangelista, L. C. Malacarne, R. S. Mendes, Solutions for a fractional nonlinear diffusion equation with external force and absorbent term. J. Stat. Mech. (2009), P02048. [Web of Science]

[15] F. Mainardi, Fractional relaxation-oscillation and fractional diffusionwave phenomena. Chaos, Solitons & Fractals
7 (1996), 1461–1477. http://dx.doi.org/10.1016/0960-0779(95)00125-5 [Crossref]

[16] F. Mainardi, Y. Luchko, G. Pagnini, The fundamental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal.
4 (2001), 153–192. http://arxiv.org/abs/cond-mat/0702419

[17] F. Mainardi, A. Mura, G. Pagnini, The M-Wright function in timefractional diffusion processes: A tutorial survey. Int. J. Diff. Equations
2010 (2010), 104505.

[18] P. D. Ronney, Near-limit flame structures at low Lewis number. Combust. Flame
82 (1990), 1–14. http://dx.doi.org/10.1016/0010-2180(90)90074-2 [Crossref]

[19] P. D. Ronney, K. N. Whaling, A. Abbud-Madrid, J. L. Gatto, V. L. Pisowicz, Stationary premixed flames in spherical and cylindrical geometries. AIAA J.
32 (1994), 569–577. http://dx.doi.org/10.2514/3.12023 [Crossref]

[20] P. D. Ronney, M. S. Wu, H. G. Pearlman, K. J. Weiland, Structure Of Flame Balls At Low Lewis-number (SOFBALL): Preliminary results from STS-83 space flight experiments. AIAA J.
36 (1998), 1361–1368. http://dx.doi.org/10.2514/2.553

[21] H. Rouzaud, Dynamique d’un modèle intégro-différentiel de flamme sphérique avec pertes de chaleur. C. R. Acad. Sci. Paris Série I 332 (2001), 1083–1086.

[22] I. M. Sokolov, J. Klafter, A. Blumen, Fractional kinetics. Physics Today November (2002), 48–54.

[23] Ya. B. Zeldovich, Theory of Combustion and Detonation of Gases. Academy of Sciences (USSR), Moscow (1944).

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