About Some Possible Implementations of the Fractional Calculus

María Pilar Velasco, David Usero, Salvador Jiménez, Luis Vázquez, José Luis Vázquez-Poletti and Mina Mortazavi
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María Pilar Velasco: Department of Applied Mathematics to the Information and Communications Technologies, Universidad Politécnica de Madrid, 28040 Madrid, Spain
David Usero: Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, 28040 Madrid, Spain
Salvador Jiménez: Department of Applied Mathematics to the Information and Communications Technologies, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Luis Vázquez: Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, 28040 Madrid, Spain
José Luis Vázquez-Poletti: Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, 28040 Madrid, Spain
Mina Mortazavi: Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 9177948974, Iran

Mathematics, 2020, vol. 8, issue 6, 1-22

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.

Keywords: fractional calculus; fractional differential equations; nonlocal effects (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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