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From Radiation and Space Exploration to the Fractional Calculus

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New Perspectives on Nonlinear Dynamics and Complexity

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 35))

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Abstract

We start with some basic mathematical statements about the roots of the Fractional Calculus, with a historical touch. At the same time, we describe the mathematical context and the basic definitions.

The Factional Calculus allows the interpolation among different families of operators, and in this framework, we describe some new mathematical scenarios related to Classical and Quantum Mechanics.

Finally, we consider some applications in the context of the Martian Exploration Missions. More precisely, we consider two main issues related to the electromagnetic radiation: The atmospheric dust dynamics and the invisibility and cloaking effects of new dielectric structures.

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Author information

Authors and Affiliations

  1. Universidad Complutense de Madrid, Madrid, Spain

    Luis Vázquez & David Usero

  2. Instituto de Matemática Interdisciplinar, Madrid, Spain

    Luis Vázquez & David Usero

  3. Universidad Politécnica de Madrid, Madrid, Spain

    M. Pilar Velasco & Salvador Jiménez

  4. Universidad Complutense de Madrid, Madrid, Spain

    J. Luis Vázquez-Poletti

Authors
  1. Luis Vázquez
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  2. M. Pilar Velasco
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  3. J. Luis Vázquez-Poletti
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  4. Salvador Jiménez
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  5. David Usero
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Correspondence to Luis Vázquez .

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Editors and Affiliations

  1. Department of Mathematics & Statistics, Texas Tech University, Lubbock, TX, USA

    Dimitri Volchenkov

  2. Dept Mechanical & Industrial Engg, Southern Illinois Univ, Sch of Engg, Edwardsville, IL, USA

    Albert C. J. Luo

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Vázquez, L., Velasco, M.P., Vázquez-Poletti, J.L., Jiménez, S., Usero, D. (2023). From Radiation and Space Exploration to the Fractional Calculus. In: Volchenkov, D., Luo, A.C.J. (eds) New Perspectives on Nonlinear Dynamics and Complexity . Nonlinear Systems and Complexity, vol 35. Springer, Cham. https://doi.org/10.1007/978-3-030-97328-5_6

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  • DOI: https://doi.org/10.1007/978-3-030-97328-5_6

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