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Professor Rudolf Gorenflo and his contribution to fractional calculus. (English) Zbl 1273.01048

Summary: We present a brief overview of the life story and professional career of Prof. R. Gorenflo – a well-known mathematician, an expert in the field of differential and integral equations, numerical mathematics, fractional calculus and applied analysis, an interesting conversational partner, an experienced colleague, and a real friend. Especially his role in the modern fractional calculus and its applications is highlighted.

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
01A60 History of mathematics in the 20th century
26-03 History of real functions
26A33 Fractional derivatives and integrals

Biographic References:

Gorenflo, Rudolf
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References:

[1] Gorenflo R., Vessella S. Abel Integral Equations. Analysis and Applications. Lecture Notes in Mathematics, 1461. — Springer-Verlag, Berlin, 1991. — viii+215 pp. ISBN: 3-540-53668-X.; · Zbl 0717.45002
[2] Ang, Dang Dinh, Gorenflo R., Le Vy Khoi, Trong, Dang Duc. Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction. Lecture Notes in Mathematics, 1792. — Springer-Verlag, Berlin, 2002. — viii+183 pp. ISBN: 3-540-44006-2.; · Zbl 1005.30025
[3] Gorenflo R. and Hoffmann K.-H. (Editors). Applied Nonlinear Functional Analysis (Variational Methods and Ill-posed Problems). Workshop at Free University of Berlin, September 1981. Verlag Peter Lang, Frankfurt-am-Main and Bern 1983. Volume 25 of the Series Methoden und Verfahren der mathematischen Physik.;
[4] Vogel A., Gorenflo R., Kummer B., Ofoegbu Ch.O. (Editors). Inverse Modeling in Exploration Geophysics. Proc. of the 6th International Mathematical Geophysics Seminar held at the Free University of Berlin, Feb 3-6, 1988. Verlag Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1989.;
[5] Vogel A., Ofoegbu Ch.O., Gorenflo R., Ursin B. (Editors). Geophysical Data Inversion, Methods and Applications. Proc. of the 7th International Geophysics Seminar held at the Free University of Berlin, Feb 8-11, 1989. Verlag Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1990.; · Zbl 0708.73021
[6] Vogel A., Sarwar Abu K.M., Gorenflo R., Kounchev O.I. (Editors). Theory and Practice of Geophysical Data Inversion. Proc. of the 8th International Mathematical Geophysics Seminar on Model Optimization in Exploration Geophysics 1990. Verlag Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1992.; · Zbl 0754.73012
[7] Vogel A., Gorenflo R., Webers W., Rutman R.S. (Editors). Geophysical Data Interpretation by Inverse Modeling. Proc. of the Ninth International Seminar on Model Optimization in Exploration Geophysics, Berlin 1991. Verlag Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1993.;
[8] Anger G., Gorenflo R., Jochmann H., Moritz H., Webers W. (Editors). Inverse Problems: Principles and Applications in Geophysics, Technology, and Medicine. Proc. of the International Conference held in Potsdam, August 30 — September 3, 1993. Akademie Verlag GmbH, Berlin 1993. Volume 74 of the Series Mathematical Research.; · Zbl 0777.00024
[9] Ang D.D., Gorenflo R., Rutman R.S., Van T.D., Yamamoto M. (Editors). Inverse Problems and Applications to Geophysics, Industry, Medicine and Technology. Proc. of the International Workshop on Inverse Problems 17-19 January 1995 Ho Chi Minh City. Publications of the Ho Chi Minh City Mathematical Society Vol 2, 1995.; · Zbl 0810.00017
[10] Gorenflo R. and Navarro M.P. (Editors). Proceedings: International Conference on Inverse Problems and Applications, February 23-27, 1998, University of the Philippines-Diliman, Quezon City. Special Issue, August 1998, Matimyas Matematika 21 (Official Journal of the Mathematical Society of the Philippines). ISSN 0115-6926, 191 pages. Printed by Institute of Science and Mathematics Education Development, University of the Philippines, Diliman, Quezon City.;
[11] Gorenflo R. Über die Wiman-Valironsche Potenzreihenvergleichsmethode und ihre Anwendung in der Theorie der ganzen transzendenten Funktionen. 92 pages. Dissertation. Technische Hochschule Karlsruhe, 1960. Supervisor: Hans Wittich.;
[12] Gorenflo R. Über die singulären Stellen der Lösungen nichtlinearer Differential gleichungen. Archiv der Mathematik 12 (1961), 188-192. http://dx.doi.org/10.1007/BF01650548; · Zbl 0103.30405
[13] Gorenflo R. Über ganze transzendente Funktionen von regelmäßigem Wachstum. Mathematische Annalen 146 (1962), 226-231. http://dx.doi.org/10.1007/BF01470952; · Zbl 0103.29803
[14] Gorenflo R. and Kovetz Y. Solution of an Abel type integral equation in the pre sence of noise by quadratic programming. Numerische Mathematik 8 (1966), 392-406. http://dx.doi.org/10.1007/BF02162982; · Zbl 0196.51106
[15] Gorenflo R., Pacco M.G. and Scherzer B.M.U. Monte Carlo simulation of a Knudsen gas flow with due allowance for the sojourn time. Zeitschrift fur Angewandte Physik 22 (1967), 500-505.;
[16] Gorenflo R. Differenzenverfahren vom Irrfahrttypus für die Differentialgleichung von Fokker-Planck-Kolmogorov. Zeitschrift für Angewandte Mathematik und Mechanik 48 (1968), T 69-T 72.; · Zbl 0258.65105
[17] Göllnitz H., Heidbreder E., Pinkau K., Reppin C., Schönfelder V. and Gorenflo R. Design of a neutron scattering chamber using Monte Carlo calculations. Nuclear Instruments and Methods 74 (1969), 109-122. http://dx.doi.org/10.1016/0029-554X(69)90498-4;
[18] Gorenflo R. Diskrete Diffusionsmodelle und monotone Differenzenschemata für parabolische Differentialgleichungen. Methoden und Verfahren der Mathematischen Physik 1 (1969), 143-162.; · Zbl 0195.10502
[19] Croci M.G., Gorenflo R. and Hertweck F. Calculation of the current flow directions in a channel with staggered electrodes under MHD generator conditions. Methoden und Verfahren der Mathematischen Physik 6 (1972), 1-39.;
[20] Gorenflo R. and Niedack M. Conservative difference schemes for diffusion problems with boundary and interface conditions. Computing 25 (1980), 299-316. http://dx.doi.org/10.1007/BF02285226; · Zbl 0445.65091
[21] Gorenflo R. and Kuban A. Numerische Simulation von Diffusions prozessen mit nichtnegativitätserhaltenden konservativen Differenzenverfahren. Zeitschrift für Naturforschung 37a (1982), 759-768.; · Zbl 0582.65070
[22] Gorenflo R. Analysis of parabolic difference schemes by Gerschgorin’s method. Annales Polonici Mathematici XLII (1983), 83-91.; · Zbl 0532.65070
[23] Gorenflo R. Historische, heuristische und numerische Meditationen über den Logarithmus. Didaktik der Mathematik 13 (1985), 272-284.;
[24] Tran Duc Van, Gorenflo R., Le Van Hap. Sobolev-Orlicz spaces of infinite order and nonlinear differential equations. Analysis 10 (1990), 231-245.; · Zbl 0711.35153
[25] Dinh Nho Ho, Gorenflo R. A noncharacteristic Cauchy problem for the heat equation. Acta Applicandae Mathematicae 24 (1991), 1-27.; · Zbl 0741.35090
[26] Gorenflo R., Pfeiffer A. On analysis and discretization of nonlinear Abel integral equations of first kind. Acta Mathematica Vietnamica 16 (1991), 211-262.; · Zbl 0883.65114
[27] Tran Duc Van, Ha Huy Bang, Gorenflo R. On Sobolev-Orlicz spaces of infinite order for a full Euclidean plane. Analysis 11 (1991), 67-81.; · Zbl 0727.46019
[28] Gorenflo R. and Yakubovich S. B. On the integral convolution for inverse G-transforms. Acta Mathematica Vietnamica 19 (1994), 145-154.; · Zbl 0885.44005
[29] Gorenflo R. and Rutman, R. On ultraslow and intermediate processes. In: P. Rusev, I. Dimovski, V. Kiryakova (Editors), Transform Methods and Special Functions (Proc. International Workshop, 12-17 August 1994, Sofia, Bulgaria), Science Culture Technology Publishing (SCTP), Singapore, 1995, pp. 61-81.; · Zbl 0923.34005
[30] Gorenflo R. and Vu Kim Tuan. Singular value decomposition of fractional integration operators in L 2 spaces with weights. Journal of Inverse and Ill-Posed Problems 3 (1995), 1-9. http://dx.doi.org/10.1515/jiip.1995.3.1.1; · Zbl 0824.45002
[31] Kilbas A., Saigo M. and Gorenflo R. On asymptotic solution of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Journal of Fractional Calculus 8 (1995), 75-93.; · Zbl 0858.45007
[32] Kilbas A.A. and Gorenflo R. Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Journal of Fractional Calculus 8 (1995), 103-117.; · Zbl 0838.45004
[33] Vu Kim Tuan and Gorenflo R. Asymptotics of singular values of Volterra integral operators. Numerical Functional Analysis and Applications 17 (1996), 453-461.; · Zbl 0858.47021
[34] Gorenflo R., Medvedeva T. and Rubin B. Locally controllable regularization of Abel integral equations via operator complementation. Journal of Inverse and Ill-posed Problems 5 (1997), 427-436. http://dx.doi.org/10.1515/jiip.1997.5.5.427; · Zbl 0898.65096
[35] Gorenflo R. and Samko S. On the dependence of asymptotics of s-numbers of fractional integration operators on weight functions. Integral Transforms and Special Functions 5 (1997), 191-212. http://dx.doi.org/10.1080/10652469708819136; · Zbl 0912.47011
[36] Gorenflo R. and Mainardi F. Fractional calculus: integral and differential equations of fractional order. In: A. Carpinteri and F. Mainardi (Editors): Fractals and Fractional Calculus in Continuum Mechanics. Springer Verlag, Wien and New York, 1997, pp. 223-276.; · Zbl 1438.26010
[37] Gorenflo R. Fractional calculus: Some numerical methods. In: A. Carpinteri and F. Mainardi (Editors): Fractals and Fractional Calculus in Continuum Mechanics. Springer Verlag, Wien and New York, 1997, pp. 277-290.;
[38] Gorenflo R. and Luchko Yu. An operational method for solving Abel integral equations of second kind. Integral Transforms and Special Functions 5 (1997), 47-58. http://dx.doi.org/10.1080/10652469708819125; · Zbl 0887.44003
[39] Gorenflo R, Luchko Yu. and Srivastava H.M. Operational method for solving integral equations with Gauss’ hypergeometric function as a kernel. International Journal of Mathematical and Statistical Sciences 6 (1997), 179-200.; · Zbl 0889.45005
[40] Gorenflo R., Mainardi F. and Srivastava H.M. Special functions in fractional relaxation-oscillation and fractional diffusion-wave phenomena, In: D. Bainov (Editor), Proc. VIII International Colloquium on Differential Equations, Plovdiv 1997, VSP (International Science Publishers), Utrecht, 1998, pp. 195-202.; · Zbl 0921.33009
[41] Gorenflo R., Kilbas A.A. and Rogosin S.V. On the generalized Mittag-Leffler type functions. Integral Transforms and Special Functions 7 (1998), 215-224. http://dx.doi.org/10.1080/10652469808819200; · Zbl 0935.33012
[42] Gorenflo, R. and Mainardi, F. Fractional calculus and stable probability distributions. Archives of Mechanics 50 No 3 (1998), 377-388.; · Zbl 0934.35008
[43] Luchko, Yu. and Gorenflo, R. Scale-invariant solutions of a partial differential equation of fractional order. Fractional Calculus and Applied Analysis 1 No 1 (1998), 63-78.; · Zbl 0940.45001
[44] Gorenflo, R. and Mainardi, F. Random walk models for spacefractional diffusion processes, Fractional Calculus and Applied Analysis 1 No 2 (1998), 167-190.; · Zbl 0946.60039
[45] Ang D.D., Gorenflo R., Trong D.D. A multidimensional Hausdorff moment problem: Regularization by finite moments. Zeitschrift für Analysis und ihre Anwendungen 18 (1999), 13-25.; · Zbl 0921.65089
[46] Fleischer G., Gorenflo R., Hofmann B. On the autoconvolution equation and total variation constraints. Zeitschrift für Angewandte Mathematik und Mechanik 79 (1999) 3, 149-159. http://dx.doi.org/10.1002/(SICI)1521-4001(199903)79:3<149::AID-ZAMM149>3.0.CO;2-N; · Zbl 0923.65098
[47] Tautenhahn U. and Gorenflo R. On optimal regularization methods for fractional differentiation. Journal for Analysis and its Applications 18 (1999), 449-467.; · Zbl 0941.65140
[48] Gorenflo R. and Yamamoto M. Operator-theoretic treatment of linear Abel integral equations of first kind. Japan Journal of Industrial and Applied Mathematics 16 (1999), 137-161. http://dx.doi.org/10.1007/BF03167528; · Zbl 1306.47057
[49] Gorenflo R., De Fabritiis G. and Mainardi F. Discrete random walk models for symmetric Lévy-Feller diffusion processes. Physica A 269 No 1 (1999), 79-89. http://dx.doi.org/10.1016/S0378-4371(99)00082-5;
[50] Gorenflo R. and Mainardi F. Approximation of Levy-Feller diffusion by random walk. Journal for Analysis and its Applications 18 (1999), 231-246.; · Zbl 0948.60006
[51] Gorenflo R., Luchko Yu. and Zabrejko, P.P. On solvability of linear fractional differential equations in Banach spaces. Fractional Calculus and Applied Analysis 2 (1999), 163-176.; · Zbl 1041.34045
[52] Gorenflo R., Luchko Yu. and Mainardi F. Analytical properties and applications of the Wright function. Fractional Calculus and Applied Analysis 2 No 4 (1999), 383-414.; · Zbl 1027.33006
[53] Gorenflo R. and Luchko Yu. An operational method for solving fractional differential equations with the Caputo derivatives. Acta Mathematica Vietnamica 24 (1999), 207-233.; · Zbl 0931.44003
[54] Gorenflo R., Luchko Yu. and Mainardi F. Wright functions as scaleinvariant solutions of the diffusion-wave equation. Journal of Computational and Applied Mathematics 118 (2000), 175-191. http://dx.doi.org/10.1016/S0377-0427(00)00288-0; · Zbl 0973.35012
[55] Mainardi F. and Gorenflo R. On Mittag-Leffler type functions in fractional evolution processes. Journal of Computational and Applied Mathematics 118 (2000), 283-299. http://dx.doi.org/10.1016/S0377-0427(00)00294-6; · Zbl 0970.45005
[56] Gorenflo R., Luchko Yu., Umarov S.R. On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. Fractional Calculus and Applied Analysis 3 (2000), 453-468.; · Zbl 1033.35162
[57] Gorenflo R., Iskenderov A. and Luchko Yu. Mapping between solutions of fractional diffusion-wave equations. Fractional Calculus and Applied Analysis 3 (2000), 75-86.; · Zbl 1033.35161
[58] Scalas E., Gorenflo R. and Mainardi F. Fractional calculus and continuous-time finance. Physica A 284 (2000), 376-384. http://dx.doi.org/10.1016/S0378-4371(00)00255-7;
[59] Mainardi F., Raberto M., Gorenflo R., and Scalas E. Fractional Calculus and continuous-time finance II: The waiting-time distribution. Physica A 287 (2000), 468-481. http://dx.doi.org/10.1016/S0378-4371(00)00386-1; · Zbl 1138.91444
[60] Gorenflo R., Mainardi F, Scalas, E. and Raberto M. Fractional calculus and continuous-time finance III: the diffusion limit. In: M. Kohlmann and S. Tang (Editors): Mathematical Finance, Birkhäuser Verlag, Basel-Boston-Berlin, 2001, pp. 171-180.; · Zbl 1138.91444
[61] Gorenflo R. The tomato salad problem in spherical stereology. In: S.I. Kabanikhin and V.G. Romanov (Editors): Ill-Posed Problems and Inverse Problems, pp. 117-134. VSP, AH Zeist, The Netherlands, 2002, pp. 117-134.; · Zbl 1049.45003
[62] Gorenflo R., Loutchko J. and Luchko Yu. Computation of the Mittag-Leffler function and its derivative. Fractional Calculus and Applied Analysis 5 (2002), 491-518.; · Zbl 1027.33016
[63] Chechkin A.V., Gorenflo R. and Sokolov I.M. Retarding sub- and accelerating super-diffusion governed by distributed order fractional diffusion equations. Physical Review E 66 (2002), 046129/1-7. http://dx.doi.org/10.1103/PhysRevE.66.046129;
[64] Gorenflo R., Mainardi F., Moretti D., Pagnini G. and Paradisi P. Fractional diffusion: probability distributions and random walk models. Physica A 305(1/2) (2002), 106-112. http://dx.doi.org/10.1016/S0378-4371(01)00647-1; · Zbl 0986.82037
[65] Gorenflo R., Mainardi F., Moretti D. and Paradisi P. Time-fractional diffusion: a discrete random walk approach. Nonlinear Dynamics 29 No 1-4 (2002), 129-143. http://dx.doi.org/10.1023/A:1016547232119; · Zbl 1009.82016
[66] Gorenflo R, Mainardi F., Moretti D., Pagnini G. and Paradisi P. Discrete random walk models for space-time fractional diffusion, Chemical Physics 284 No 1/2 (2002), 521-544. http://dx.doi.org/10.1016/S0301-0104(02)00714-0; · Zbl 0986.82037
[67] Gorenflo R. and Vivoli A. Fully discrete random walks for spacetime fractional diffusion equations. Signal Processing 83 No.11 (2003), 2411-2420. http://dx.doi.org/10.1016/S0165-1684(03)00193-2; · Zbl 1145.60312
[68] Chechkin A.V., Gorenflo R., Sokolov I.M., Gonchar V.Yu. Distributed order time-fractional diffusion equation. Fractional Calculus and Applied Analysis 6 (2003), 259-279.; · Zbl 1089.60046
[69] Gorenflo R. and Mainardi F. Fractional diffusion processes: probability distributions and continuous time random walk, In: G. Rangarajan and M. Ding (Editors), Processes with Long Range Correlations, Springer-Verlag, Berlin 2003, pp. 148-166. [Lecture Notes in Physics, No. 621] http://dx.doi.org/10.1007/3-540-44832-2_8;
[70] Mainardi F., Pagnini G. and Gorenflo R., Mellin transform and subordination laws in fractional diffusion processes, Fractional Calculus and Applied Analysis 6 No. 4 (2003), 441-459.; · Zbl 1083.60032
[71] Mainardi F., Gorenflo R. and Scalas E. A fractional generalization of the Poisson processes. Vietnam Journal of Mathematics 32 SI (2004), 53-64.; · Zbl 1087.60064
[72] Gorenflo R., Vivoli A. and Mainardi F. Discrete and continuous random walk models for space-time fractional diffusion. Nonlinear Dynamics 38 (2004), 101-116. http://dx.doi.org/10.1007/s11071-004-3749-5; · Zbl 1125.76067
[73] Scalas E., Gorenflo R. and Mainardi F. Uncoupled continuous-time random walks: analytic solution and limiting behaviour of the master equation. Physical Review E 69 (2004), 011107/1-8. http://dx.doi.org/10.1103/PhysRevE.69.011107;
[74] Umarov S. and Gorenflo R. Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations, Part One. Zeitschrift für Analysis und ihre Anwendungen 24 No 3 (2005), 449-466.; · Zbl 1100.35132
[75] Mainardi F., Gorenflo R. and Vivoli A. Renewal Processes of Mittag-Leffler and Wright type. Fractional Calculus and Applied Analysis 8 (2005), 7-38.; · Zbl 1126.60070
[76] Umarov S. and Gorenflo R. On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. Fractional Calculus and Applied Analysis 8 (2005), 73-86.; · Zbl 1131.60038
[77] Gorenflo R. and Mainardi F. Simply and multiply scaled diffusion limits for continuous time random walks, IOP Journal of Physics: Conference Series 7 (2005), 1-16. http://dx.doi.org/10.1088/1742-6596/7/1/001;
[78] Scalas E., Gorenflo R., Luckock H., Mainardi F., Mantelli M. and Raberto M. On the intertrade waiting-time distribution. Finance Letters 3 No 1 (2005), 38-43.; · Zbl 1409.62216
[79] Mainardi F., Vivoli A. and Gorenflo R. Continuous time random walk and time fractional diffusion: a numerical comparison between the fundamental solutions. Fluctuation and Noise Letters 5 No 2 (2005), L291-L297. http://dx.doi.org/10.1142/S0219477505002677;
[80] Gorenflo R. and Mainardi F. Fractional relaxation of distributed order. In: M. Novak (Editor): Complexus Mundi: Emergent Patterns in Nature World Scientific, Singapore, 2006, pp. 33-42. http://dx.doi.org/10.1142/9789812774217_0003; · Zbl 1167.26303
[81] Mainardi F., Gorenflo R. and Vivoli A. Beyond the Poisson renewal process: a tutorial survey. Journal of Computational and Applied Mathematics 205 (2007), 725-735. http://dx.doi.org/10.1016/j.cam.2006.04.060; · Zbl 1115.60082
[82] Mainardi F., Pagnini G. and Gorenflo R. Some aspects of fractional diffusion equations of single and distributed order, Applied Mathematics and Computation 187 (2007), 295-305. http://dx.doi.org/10.1016/j.amc.2006.08.126; · Zbl 1122.26004
[83] Gorenflo R., Mainardi F. and Vivoli A. Continuous time random walk and parametric subordination in fractional diffusion. Chaos, Solitons and Fractals 34 (2007), 87-103. http://dx.doi.org/10.1016/j.chaos.2007.01.052; · Zbl 1142.82363
[84] Gorenflo R. and Abdel-Rehim E.A. Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion. J. Comput. Appl. Math. 205 No 2 (2007), 871-881. http://dx.doi.org/10.1016/j.cam.2005.12.043; · Zbl 1127.65100
[85] Mainardi F., Mura A., Gorenflo R. and Stojanović, M. The two forms of fractional relaxation of distributed order. J. Vib. Control 13 No 9/10 (2007), 1249-1268. http://dx.doi.org/10.1177/1077546307077468; · Zbl 1165.26302
[86] Mainardi F. and Gorenflo R. Time-fractional derivatives in relaxation processes: a tutorial survey. Fractional Calculus and Applied Analysis 10 No 3 (2007), 269-308.; · Zbl 1157.26304
[87] Chechkin, A.V., Gonchar, V.Yu., Gorenflo, R., Korabel, N. and Sokolov, I.M. Generalized fractional diffusion equations for accelerating subdiffusion and truncated Lévy flights. Phys. Rev. E 78 (2008), 021111/1-13. http://dx.doi.org/10.1103/PhysRevE.78.021111;
[88] Gorenflo R. and Mainardi F. Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects, Chap. 4 In R. Klages, G. Radons and I.M. Sokolov (Editors):’ Anomalous Transport: Foundations and Applications, Wiley-VCH, Weinheim, Germany, 2008, pp. 93-127. http://dx.doi.org/10.1002/9783527622979.ch4;
[89] Mainardi F., Mura A., Pagnini G. and Gorenflo R. Time-fractional diffusion of distributed order, Journal of Vibration and Control 14 (2008), 1267-1290. http://dx.doi.org/10.1177/1077546307087452; · Zbl 1229.35118
[90] Gorenflo R. and Mainardi F. Some recent advances in theory and simulation of fractional diffusion processes. J. Comput. Appl. Math. 229(2) (2009), 400-415. http://dx.doi.org/10.1016/j.cam.2008.04.005; · Zbl 1166.45004
[91] Stojanovic M. and Gorenflo R. Nonlinear two-term time-fractional diffusion-wave problem. Nonlinear Analysis: Real World Applications 11 (2010), 3512-3523. http://dx.doi.org/10.1016/j.nonrwa.2009.12.012; · Zbl 1203.35289
[92] Gorenflo R. Mitttag-Leffler waiting time, power laws, rarefaction, continuous time random walk, diffusion limit. Pages 1-22 in: Proceedings of the National Workshop on Fractional Calculus and Statistical Distributions, November 25-27, 2009, Publication No.41 (July 2010) of Centre for Mathematical Sciences Pala Campus, Pala/Kerala/India, edited by S.S. Pai, N. Sebastian, S.S. Nair, Dh.P. Joseph, D. Kumar.;
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