Fractional Elementary Bicomplex Functions in the Riemann–Liouville Sense

Nicolás Coloma, Antonio Di Teodoro, Diego Ochoa-Tocachi, Francisco Ponce

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

9 Citas (Scopus)

Resumen

In this paper, we present the development of fractional bicomplex calculus in the Riemann–Liouville sense, based on the modification of the Cauchy–Riemann operator using the one-dimensional Riemann–Liouville derivative in each direction of the bicomplex basis. We introduce elementary functions such as analytic polynomials, exponential, trigonometric, and some properties of these functions. Furthermore, we present the fractional bicomplex Laplace operator connected with the fractional Cauchy–Riemann operator.

Idioma originalInglés
Número de artículo63
PublicaciónAdvances in Applied Clifford Algebras
Volumen31
N.º4
DOI
EstadoPublicada - sep. 2021

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