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Fractional calculus: A survey of useful formulas

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Abstract

This paper presents a survey of useful, established formulas in Fractional Calculus, systematically collected for reference purposes.

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Authors and Affiliations

  1. IDMEC / LAETA, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    D. Valério

  2. Departamento de Análisis Matemático, University of La Laguna, Tenerife, Spain

    J. J. Trujillo

  3. Departamento de Matemática Fundamental, University of La Laguna, Tenerife, Spain

    M. Rivero

  4. Dept. of Electrical Engineering, Institute of Engineering of Polytechnic of Porto, Porto, Portugal

    J. A. T. Machado

  5. Department of Mathematics and Computer Sciences, Çankaya University, Balgat 06530, Ankara, Turkey

    D. Baleanu

  6. Institute of Space Sciences, Magurele-Bucharest, Romania

    D. Baleanu

  7. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    D. Baleanu

Authors
  1. D. Valério
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  2. J. J. Trujillo
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  3. M. Rivero
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  4. J. A. T. Machado
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  5. D. Baleanu
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Correspondence to D. Valério.

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Valério, D., Trujillo, J.J., Rivero, M. et al. Fractional calculus: A survey of useful formulas. Eur. Phys. J. Spec. Top. 222, 1827–1846 (2013). https://doi.org/10.1140/epjst/e2013-01967-y

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  • DOI: https://doi.org/10.1140/epjst/e2013-01967-y

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