, Volume 98, Issue 1, pp 577–582 | Cite as

On development of fractional calculus during the last fifty years

  • J. A. Tenreiro Machado
  • Alexandra M. S. F. Galhano
  • Juan J. Trujillo


Fractional calculus generalizes integer order derivatives and integrals. During the last half century a considerable progress took place in this scientific area. This paper addresses the evolution and establishes an assertive measure of the research development.


Fractional calculus Scientific evolution Science metrics 



This work was supported, in part, by Government of Spain and FEDER Grant No. MTM2010-16499.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2013

Authors and Affiliations

  • J. A. Tenreiro Machado
    • 1
  • Alexandra M. S. F. Galhano
    • 1
  • Juan J. Trujillo
    • 2
  1. 1.Department of Electrical EngineeringInstitute of Engineering, Polytechnic of PortoPortoPortugal
  2. 2.Departamento de Analisis MatematicoUniversidad de La LagunaLa LagunaSpain

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