About Some Possible Implementations of the Fractional Calculus

Velasco Cebrian, María Pilar and Usero, David and Jiménez Burillo, Salvador and Vázquez, Luis and Vázquez-Poletti, José Luis and Mortazavi, Mina (2020). About Some Possible Implementations of the Fractional Calculus. "Mathematics", v. 8 (n. 6); p. 893. ISSN 2227-7390. https://doi.org/10.3390/math8060893.

Description

Title: About Some Possible Implementations of the Fractional Calculus
Author/s:
  • Velasco Cebrian, María Pilar
  • Usero, David
  • Jiménez Burillo, Salvador
  • Vázquez, Luis
  • Vázquez-Poletti, José Luis
  • Mortazavi, Mina
Item Type: Article
Título de Revista/Publicación: Mathematics
Date: 2020
ISSN: 2227-7390
Volume: 8
Subjects:
Freetext Keywords: fractional calculus; fractional differential equations; nonlocal effects
Faculty: E.T.S.I. y Sistemas de Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: None

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Abstract

We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial differential equation (PDE) formulations ranging from the basic equations of mechanics to diffusion and Dirac equations.

Funding Projects

TypeCodeAcronymLeaderTitle
Horizon 2020823934IN-TIMEUnspecifiedIN-SITU INSTRUMENT FOR MARS AND EARTH DATING APPLICATIONS
Government of SpainESP2016-79135-RUnspecifiedUnspecifiedANALISIS, MODELIZACION Y EXPLOTACION DE DATOS EN LA EXPLORACION DE MARTE: MISIONES EXOMARS2016 Y EXOMARS2018

More information

Item ID: 63889
DC Identifier: http://oa.upm.es/63889/
OAI Identifier: oai:oa.upm.es:63889
DOI: 10.3390/math8060893
Official URL: https://doi.org/10.3390/math8060893
Deposited by: Prof. Salvador Jiménez
Deposited on: 17 Sep 2020 09:36
Last Modified: 17 Sep 2020 09:36
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