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Evolution Equations Involving Matrices Raised to Non-Integer Exponents

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Modeling in Mathematics

Part of the book series: Atlantis Transactions in Geometry ((ATLANTIS,volume 2))

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Abstract

The use of matrices evolution equations raised to non-integer exponents finds applications in problems involving the solution of two or three level systems ruled by Klein–Gordon type equations. We develop a fairly simple method exploiting the wealth of results developed on fractional calculus and provide an example of application.

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Author information

Authors and Affiliations

  1. ENEA - Centro Ricerche Frascati, Via Enrico Fermi 45, 00044, Frascati, Rome, Italy

    Giuseppe Dattoli, Silvia Licciardi, Federico Nguyen & Elio Sabia

  2. Department of Mathematics, University of Catania, Via Santa Sofia 64, 95125, Catania, Italy

    Silvia Licciardi

Authors
  1. Giuseppe Dattoli
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  2. Silvia Licciardi
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  3. Federico Nguyen
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  4. Elio Sabia
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Corresponding author

Correspondence to Giuseppe Dattoli .

Editor information

Editors and Affiliations

  1. Bio-Engineering Sciences, University of Antwerp, Antwerp, Belgium

    Johan Gielis

  2. International Telematic University UniNettuno, Roma, Italy

    Paolo Emilio Ricci

  3. Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

    Ilia Tavkhelidze

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Dattoli, G., Licciardi, S., Nguyen, F., Sabia, E. (2017). Evolution Equations Involving Matrices Raised to Non-Integer Exponents. In: Gielis, J., Ricci , P., Tavkhelidze, I. (eds) Modeling in Mathematics . Atlantis Transactions in Geometry, vol 2. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-261-8_3

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