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Science metrics on fractional calculus development since 1966

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Abstract

During the last fifty years the area of Fractional Calculus verified a considerable progress. This paper analyzes and measures the evolution that occurred since 1966.

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References

  1. S. Abbas, M. Benchohra, G. M. N’Guérékata, Topics in Fractional Differential Equations, Developments in Mathematics, Vol. 27. Springer, New York (2012).

    Book  MATH  Google Scholar 

  2. G. A. Anastassiou, Fractional Differentiation Inequalities. Springer, New York, Heidelberg (2009).

    Book  MATH  Google Scholar 

  3. M. H. Annaby, Z.S. Mansour, q-Fractional Calculus and Euations, Lecture Notes in Mathematics, Vol. 2056. Springer, Heidelberg (2012).

    Book  Google Scholar 

  4. P. Arena, R. Caponetto, M. Porto, L. Fortuna, Nonlinear Noninteger Order Systems: Theory and Applications, Nonlinear Science. World Scientific Publishing Company, Singapore (2001).

    Google Scholar 

  5. S. Al-Azawi, Some Results in Fractional Calculus. LAP Lambert Acad. Publ. (2011).

    Google Scholar 

  6. O. G. Bakunin, Turbulence and Diffusion: Scaling Versus Equations, Springer Series in Synergetics. Springer-Verlag, Berlin, Heidelberg (2008).

    MATH  Google Scholar 

  7. D. Baleanu, Z.B. Guvenç, J. Tenreiro Machado (Eds.), New Trends in Nanotechnology and Fractional Calculus Applications. Springer,, Dordrecht (2010).

    MATH  Google Scholar 

  8. D. Baleanu, J.A. Tenreiro Machado, A.C.J. Luo (Eds.), Fractional Dynamics and Control. Springer, New York (2011).

    Google Scholar 

  9. D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional Calculus: Models and Numerical Methods, Series on Complexity, Nonlinearity and Chaos. World Scientific Publishing Company, Singapore (2012).

    MATH  Google Scholar 

  10. Y. A. Brychkov, Handbook of Special Functions. Derivatives, Integrals, Series and Other Formulas. Chapman and Hall/CRC, Boca Raton (2009).

    Google Scholar 

  11. R. Caponetto, G. Dongola, L. Fortuna, I. Petráš, Fractional Order Systems: Modeling and Control Applications. World Scientific,, Singapore (2010).

    Google Scholar 

  12. M. Caputo, Elasticitá e Dissipazione. Zanichelli, Bologna (1969).

    Google Scholar 

  13. M. Caputo, Lectures on Seismology and Rheological Tectonics. Lecture Notes, Universitá La Sapienza, Dipartimento di Fisica, Roma (1992).

    Google Scholar 

  14. A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics. (CISM International Centre for Mechanical Sciences), Springer, Wien (1997).

    MATH  Google Scholar 

  15. S. Das, Functional Fractional Calculus for System Identification and Controls. Springer-Verlag, Berlin, Heidelberg (2009).

    Google Scholar 

  16. S. Das, I. Pan, Fractional Order Signal Processing: Introductory Concepts and Applications, SpringerBriefs in Applied Sciences and Technology. Springer, Heidelberg (2012).

    Book  MATH  Google Scholar 

  17. K. Diethelm, The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type, Lecture Notes in Mathematics. Springer, Heidelberg (2010).

    Book  MATH  Google Scholar 

  18. S. Dugowson, Les différentielles métaphysiques (histoire et philosophie de la généralisation de l’ordre de dérivation), PhD, Thèse. Université Paris Nord, Paris, France (1994).

    Google Scholar 

  19. M. M. Dzherbashyan, Integral Transforms and Representations of Functions in Complex Domain. Nauka, Moscow (1966), In Russian.

    Google Scholar 

  20. W. Elmenreich, J. Tenreiro Machado, I.J. Rudas (Ed.), Intelligent Systems at the Service of Mankind, Vol. 2. Ubooks Verlag, Neusäss (2005).

    Google Scholar 

  21. R. Ferrari, A.J. Manfroi, W.R. Young, Strongly and weakly self-similar diffusion. Physica D 154 (2001) 111–137.

    Article  MathSciNet  MATH  Google Scholar 

  22. A. Freed, K. Diethelm, Yu. Luchko, Fractional-order viscoelasticity (FOV): Constitutive development using the fractional calculus. First annual report, NASA/TM 2002-211914, NASA’s Glenn Research Center, Brook Rark, Ohio (2002).

    Google Scholar 

  23. R. Gorenflo, S. Vessella, Abel Integral Equations: Analysis and Applications, Lecture Notes in Mathematics, Vol. 1461, Springer, Berlin (1991).

    MATH  Google Scholar 

  24. H. J. Haubold, A.M. Mathai (Ed.), Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science: National Astronomical Observatory of Japan (Astrophysics and Space Science Proceedings). Springer, Berlin (2010).

    Google Scholar 

  25. R. Herrmann, Fractional Calculus: An Introduction for Physicists, World Scientific Publishing Company, Singapore (2011).

    Book  MATH  Google Scholar 

  26. R. Hilfer (Ed.), Applications of Fractional Calculus in Physics. World Scientific Publishing Company, Singapore (2000).

    MATH  Google Scholar 

  27. N. Jacob, Pseudo-Differential Operators and Markov Processes: Fourier Analysis and Semigroups, Vol. 1. World Scientific Publishing Company, Singapore (2002).

    MATH  Google Scholar 

  28. N. Jacob, Pseudo Differential Operators & Markov Processes: Generators and Their Potential Theory, Vol. 2. World Scientific Publishing Company, Singapore (2002).

    Book  MATH  Google Scholar 

  29. N. Jacob, Pseudo Differential Operators & Markov Processes: Markov Processes and Applications, Vol. 3. Imperial College Press, London (2005).

    Book  MATH  Google Scholar 

  30. Z. Jiao, Y. Q. Chen, I. Podlubny, Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives. SpringerBriefs in Electrical and Computer Engineering, Springer, London (2012).

    Book  MATH  Google Scholar 

  31. R. N. Kalia (Ed.), Recent Advances in Fractional Calculus, (Global Research Notes in Mathematics Ser.). Global Publ. Co, Minnesota (1993).

    MATH  Google Scholar 

  32. A. A. Kilbas, M. Saigo, H-Transforms: Theory and Applications, Series on Analytic Methods and Special Functions, Vol. 9. CRC Press, Boca Raton (2004).

    Book  MATH  Google Scholar 

  33. A. A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, Vol. 204. Elsevier, Amsterdam (2006).

    Book  MATH  Google Scholar 

  34. A. Kilbas, S. Rogosin (Eds.), Analytic Methods of Analysis and Differential Equations: AMADE-2006, Cambridge Scientific Publishers, Cambridge (2008).

    MATH  Google Scholar 

  35. A. A. Kilbas, S. V. Rogosin (Eds.), Analytic Methods of Analysis and Differential Equations: AMADE 2009. Cambridge Scientific Publishers, Cambridge (2012).

    Google Scholar 

  36. V. S. Kiryakova, Generalized Fractional Calculus and Applications, Pitman Research Notes in Mathematics, Vol. 301, Longman Sci. Tech. & J. Wiley, New York (1994).

    MATH  Google Scholar 

  37. J. Klafter, S.C. Lim, R. Metzler (Eds.), Fractional Dynamics: Recent Advances. World Scientific Publ. Co., Singapore (2011).

    Google Scholar 

  38. J. Klafter, I.M. Sokolov, First Steps in Random Walks: From Tools to Applications. Oxford University Press, Oxford (2011).

    MATH  Google Scholar 

  39. R. Klages, G.R. Radons, I.M. Sokolov (Eds.), Anomalous Transport: Foundations and Applications. Wiley-VCH, Weinheim (2008).

    Google Scholar 

  40. M. Klimek, On Solutions of Linear Fractional Differential Equations of a Variational Type. Czestochowa University of Technology, Czestochowa (2009).

    Google Scholar 

  41. V. Lakshmikantham, S. Leela, J.V. Devi, Theory of Fractional Dynamic Systems. Cambridge Scientific Publishers, Cambridge (2009).

    MATH  Google Scholar 

  42. A. Le Méhauté, J. Tenreiro Machado, J.C. Trigeassou, J. Sabatier (Eds.), Fractional Differentiation and its Applications. Ubooks Verlag, Neusäss (2005).

    Google Scholar 

  43. J. S. Leszczyanski, An Introduction to Fractional Mechanics. Czestochowa University of Technology, Czestochowa (2011).

    Google Scholar 

  44. A. C.J. Luo, V.S. Afraimovich (Eds.), Long-range Interaction, Stochasticity and Fractional Dynamics — Dedication to George M. Zaslavsky (1935–2008). Higher Education Press and Springer, Beijing and Dordrecht (2010).

    Google Scholar 

  45. A. J. Lotka, The frequency distribution of scientific productivity. Journal of the Washington Academy of Sciences 16, No 12 (1926), 317–324.

    Google Scholar 

  46. Y. C. Ying Luo, Fractional Order Motion Controls. JohnWiley & Sons, New York (2012).

    Google Scholar 

  47. J. Tenreiro Machado, V. Kiryakova, F. Mainardi, A poster about the recent history of fractional calculus. Fract. Calc. Appl. Anal. 13, No 3 (2010), 329–334.

    MathSciNet  MATH  Google Scholar 

  48. J. A. Tenreiro Machado, V. Kiryakova, F. Mainardi, A poster about the old history of fractional calculus. Fract. Calc. Appl. Anal. 13, No 4 (2010), 447–454.

    MathSciNet  MATH  Google Scholar 

  49. J. Tenreiro Machado, V. Kiryakova, F. Mainardi, Recent history of fractional calculus. Communications in Nonlinear Science and Numerical Simulations 16, No 3 (2011), 1140–1153.

    Article  MathSciNet  MATH  Google Scholar 

  50. J. Tenreiro Machado, A.C.J. Luo, R.S. Barbosa, M.S. Silva, L.B. Figueiredo (Eds.), Nonlinear Science and Complexity. Springer, Dordrecht (2010).

    Google Scholar 

  51. J. Tenreiro Machado, B. Patkái, I.J. Rudas (Eds.), Intelligent Engineering Systems and Computational Cybernetics. Springer, New York (2009).

    Book  Google Scholar 

  52. R. L. Magin, Fractional Calculus in Bioengineering. Begell House Inc., Redding, CT (2006).

    Google Scholar 

  53. F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models. Imperial College Press, London (2010).

    Book  MATH  Google Scholar 

  54. A. B. Malinowska, D.F.M. Torres, Introduction to the Fractional Calculus of Variations. Imperial College Press, Singapore (2012).

    MATH  Google Scholar 

  55. T. Margulies, Mathematics and Science Applications and Frontiers: With Fractional Calculus. Xlibris Corporation, USA (2008).

    Google Scholar 

  56. A. M. Mathai, R.K. Saxena, Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Notes in Mathematics. Springer, Heidelberg (1973).

    MATH  Google Scholar 

  57. A. M. Mathai, R.K. Saxena, The H-function with Applications in Statistics and Other Disciplines. Wiley Eastern Ltd, New Delhi (1978).

    MATH  Google Scholar 

  58. A. M. Mathai, H.J. Haubold, Special Functions for Applied Scientists. Springer, New York (2008).

    Book  MATH  Google Scholar 

  59. A. M. Mathai, R.K. Saxena, H.J. Haubold, The H-Function: Theory and Applications. Springer, New York (2009).

    Google Scholar 

  60. A. C. McBride, Fractional Calculus and Integral Transforms of Generalized Functions. Pitman Press, San Francisco (1979).

    MATH  Google Scholar 

  61. A. C. McBride, G.F. Roach (Eds.), Fractional Calculus (Proc. of International Conference held in Ross Priory, University of Strathclyde, Scotland, August 1984). Research Notes in Mathematics No. 138, Pitman, London (1985).

    Google Scholar 

  62. M. M. Meerschaert, A. Sikorskii, Stochastic Models for Fractional Calculus, de Gruyter Studies in Mathematics. Walter de Gruyter & Co, Berlin (2011).

    Book  Google Scholar 

  63. A. Le Méhauté, R.R. Nigmatullin, L. Nivanen, Flèches du temps et géométrie fractale. Hermès, Paris (1998).

    MATH  Google Scholar 

  64. K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley and Sons, New York (1993).

    MATH  Google Scholar 

  65. C. A. Monje, Y.Q. Chen, B.M. Vinagre, D. Xue, V. Feliu, Fractionalorder Systems and Controls, Series Advances in Industrial Control. Springer, London (2010).

    Book  Google Scholar 

  66. G. E. Moore, Cramming more components onto integrated circuits. Electronics 38, No 8 (1965), 114–117.

    Google Scholar 

  67. A. M. Nakhushev, Fractional Calculus and its Applications. Fizmatlit, Moscow (2003), In Russian.

    Google Scholar 

  68. K. Nishimoto, Fractional Calculus, Vol. 1. Descartes Press, Koriyama (1984).

    MATH  Google Scholar 

  69. K. Nishimoto, Fractional Calculus, Vol. 2. Descartes Press, Koriyama (1987).

    Google Scholar 

  70. K. Nishimoto, Fractional Calculus, Vol. 3. Descartes Press, Koriyama (1989).

    Google Scholar 

  71. K. Nishimoto, Fractional Calculus, Vol. 4. Descartes Press, Koriyama (1991).

    Google Scholar 

  72. K. Nishimoto, An Essence of Nishimoto’s Fractional Calculus (Calculus of the 21st Century), Integrals and Differentiations of Arbitrary Order. Descartes Press, Koriyama (1991).

    Google Scholar 

  73. K. Nishimoto, Fractional Calculus, Vol. 5. Descartes Press, Koriyama (1996).

    Google Scholar 

  74. I. Nourdin, Selected Aspects of Fractional Brownian Motion, Bocconi & Springer Series. Springer, Milano (2012).

    Book  MATH  Google Scholar 

  75. K. B. Oldham, J. Spanier, The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order. Academic Press, New York (1974).

    Google Scholar 

  76. M. D. Ortigueira, Fractional Calculus for Scientists and Engineers, Lecture Notes in Electrical Engineering. Springer, Dordrecht, Heidelberg (2011).

    Book  MATH  Google Scholar 

  77. A. Oustaloup, Syst`emes asservis linéaires d’ordre fractionnaire: Théorie et pratique, Serie Automatique. Masson, Paris (1983).

    Google Scholar 

  78. A. Oustaloup, La Commande CRONE: Commande Robuste d’Ordre Non Entier. Hermès, Paris (1991).

    MATH  Google Scholar 

  79. A. Oustaloup, La Dérivation Non Entière. Théorie, Synthèse et Applications. Hermès Science, Paris (1995).

    Google Scholar 

  80. A. Oustaloup, B. Mathieu, La commande CRONE: du scalaire au multivariable. Hermès Science, Paris (1999).

    MATH  Google Scholar 

  81. B. B. Paz, A.A. Kilbas, J.J. Trujillo, Cálculo Fraccionario y Ecuaciones Diferenciales Fraccionarias. Universidad Nacional de Educación a Distancia, UNED, Ediciones, Madrid (2003).

    Google Scholar 

  82. I. Petras, I. Podlubny, P. O’Leary, L. Dorcak, B. Vinagre, Analogue Realization of Fractional Order Controllers. FBERG, Technical University of Kosice, Kosice (2002).

    Google Scholar 

  83. I. Petráš, Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation,, Series Nonlinear Physical Science, Springer, Heidelberg (2011).

    Book  MATH  Google Scholar 

  84. I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution, Mathematics in Science and Engineering, Vol. 198. Academic Press, San Diego (1999).

    MATH  Google Scholar 

  85. A. P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series, Vol. 3: More Special Functions. Nauka, Moscow (1986), In Russian.

    Google Scholar 

  86. A. V. Pskhu, Partial Differential Equations of Fractional Order. Nauka, Moscow (2005), In Russian.

    MATH  Google Scholar 

  87. Y. N. Rabotnov, Elements of Hereditary Solids Mechanics. Nauka, Moscow (1977), In Russian.

    Google Scholar 

  88. B. L. S. P. Rao, Statistical Inference for Fractional Diffusion Processes, Wiley Series in Probability and Statistics. Wiley, Chichester (2010).

    Book  Google Scholar 

  89. S. V. Rogosin, A. A. Koroleva (Eds.), Advances in Applied Analysis (Trends in Mathematics). Birkhäuser, Basel (2012).

    Google Scholar 

  90. B. Ross (Ed.), Fractional Calculus and Its Applications, Proc. of the International Conference, New Haven. Springer-Verlag, New York (1974).

    Google Scholar 

  91. B. Rubin, Fractional Integrals and Potentials, Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 82. Longman Sci. Techn. / CRC, Harlow (1996).

    MATH  Google Scholar 

  92. P. Rusev, I. Dimovski, V. Kiryakova (Eds.), Transform Methods & Special Functions, Sofia’1994 (Proc. 1st Intern. Workshop, with Special Session on FC). Science Culture Technology Publishing (SCTP), Singapore (1995).

    MATH  Google Scholar 

  93. P. Rusev, I. Dimovski, V. Kiryakova (Eds.), Transform Methods & Special Functions, Varna’96 (Proc. 2nd International Workshop, with Special Session on FC and “Open Problems in FC” Round Table). Institute of Mathematics and Informatics (IMI — BAS), Sofia (1998).

    Google Scholar 

  94. J. Sabatier, O. P. Agrawal, J. Tenreiro Machado (Eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering. Springer, Dordrecht (2007).

    MATH  Google Scholar 

  95. S. G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications. Nauka i Tekhnika, Minsk (1987).

    MATH  Google Scholar 

  96. S. G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach Science Publishers, Yverdon (1993).

    MATH  Google Scholar 

  97. H. Sheng, Y.Q. Chen, T. Qiu, Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications, Signals and Communication Technology. Springer, London (2012).

    Book  Google Scholar 

  98. Z. K. Silagadze, Citations and the Zipf-Mandelbrot’s law. Complex Systems 11 (1997), 487–499.

    MATH  Google Scholar 

  99. I. N. Sneddon, The Use of Operators of Fractional Integration in Applied Mathematics, Appl. Math. Series. PWN-Polish Scientific Publishers, Warszawa-Poznan (1979).

    MATH  Google Scholar 

  100. S. G. H. M. Srivastava, K.C. Gupta, The H-Functions of One and Two Variables with Applications. South Asian Publishers, New Delhi and Madras (1982).

    MATH  Google Scholar 

  101. H. M. Srivastava, O. Shigeyoshi (Eds.), Univalent Functions, Fractional Calculus and Their Applications. Ellis Horwood Ltd, Chichester (1990).

    Google Scholar 

  102. H. M. Srivastava, R. G. Buschman, Theory and Applications of Convolution Integral Equations. Kluwer Series on Mathematics and Its Applications, Vol. 79. Kluwer Academic Publishers, Dordrecht, Boston, and London (1992).

    Book  MATH  Google Scholar 

  103. V. E. Tarasov, Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media, Nonlinear Physical Science. Springer, Beijing, Heidelberg (2011).

    Google Scholar 

  104. K. Tas, J. Tenreiro Machado, D. Baleanu (Eds.), Mathematical Methods in Engineering. Springer, Dordrecht (2007).

    MATH  Google Scholar 

  105. V. V. Uchaikin, V.M. Zolotarev, Chance and Stability. Stable Distributions and their Applications, Series Modern Probability and Statistics, No 3. VSP, Utrecht (1999).

    Book  MATH  Google Scholar 

  106. V. V. Uchaikin, Method of Fractional Derivatives. Artishok-Press, Ulyanovsk (2008), In Russian.

    Google Scholar 

  107. D. Valério, J.S. da Costa, An Introduction to Fractional Control. IET, Stevenage (2012).

    Google Scholar 

  108. V. V. Vasilyev, L.A. Simak, Fractional Calculus and Approximation Methods in Modelling of Dynamic Systems. NAS (Nat. Acad. Sci.) of Ukraine, Academic Press, Kiev (2008).

    Google Scholar 

  109. B. J. West, Physiology, Promiscuity, and Prophecy at the Millennium: A Tale of Tails (Studies of Nonlinear Phenomena in Life Science), Studies of Nonlinear Phenomena in Life Sciences, Vol. 8. World Scientific Publishing Company, Singapore (1999).

    Chapter  Google Scholar 

  110. B. West, M. Bologna, P. Grigolini, Physics of Fractal Operators. Springer, New York (2003).

    Book  Google Scholar 

  111. S. Westerlund, Dead Matter has Memory!. Causal Consulting, Kalmar, Sweden (2002).

    Google Scholar 

  112. D. Xue, Y.Q. Chen, D.P. Atherton, Linear Feedback Control: Analysis and Design with MATLAB. Society for Industrial Mathematics, Philadelphia (2008).

    Google Scholar 

  113. D. Xue, Y.Q. Chen, Solving Applied Mathematical Problems with MATLAB. Chapman & Hall/CRC Press, Boca Raton (2008).

    Google Scholar 

  114. S. B. Yakubovich, Y.F. Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions, Ser. Mathematics and Its Applications, Vol. 287. Kluwer Academic Publishers, Dordrecht, Boston, London (1994).

    Book  MATH  Google Scholar 

  115. X. J. Yang, Local Fractional Functional Analysis and Its Applications. Asian Academic Publisher Limited, Hong Kong (2011).

    Google Scholar 

  116. X. J. Yang, Advanced Local Fractional Calculus and Its Applications. World Science Publisher, New York (2012).

    Google Scholar 

  117. G. M. Zaslavsky, Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, Oxford (2008).

    MATH  Google Scholar 

  118. M. Zubair, M.J. Mughal, Q.A. Naqvi, Electromagnetic Fields and Waves in Fractional Dimensional Space, SpringerBriefs in Applied Sciences and Technology. Springer, Heidelberg (2012).

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. Dept. of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal

    J. Tenreiro Machado & Alexandra M. Galhano

  2. Departamento de Análisis Matemático, Universidad de La Laguna, La Laguna, Tenerife, Spain

    Juan J. Trujillo

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  1. J. Tenreiro Machado
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  3. Juan J. Trujillo
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Dedicated to Professor Francesco Mainardi on the occasion of his 70th anniversary

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Tenreiro Machado, J., Galhano, A.M. & Trujillo, J.J. Science metrics on fractional calculus development since 1966. fcaa 16, 479–500 (2013). https://doi.org/10.2478/s13540-013-0030-y

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