Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Johan Ceballos; Nicolás Coloma; Antonio Di Teodoro; Diego Ochoa–Tocachi

doi:10.1007/s00006-020-01096-2

Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Johan Ceballos
, Nicolás Coloma
, Antonio Di Teodoro^*
, Diego Ochoa–Tocachi

^*Corresponding author for this work

Matemáticas

Universidad de las Americas - Ecuador

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

Original language	English
Article number	70
Journal	Advances in Applied Clifford Algebras
Volume	30
Issue number	5
DOIs	https://doi.org/10.1007/s00006-020-01096-2
State	Published - 1 Nov 2020

Keywords

Associated pair
Fractional Cauchy–Riemann
Fractional calculus
Generalized analytic functions
Linear fractional differential system

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10.1007/s00006-020-01096-2

Cite this

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title = "Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator",

abstract = "In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.",

keywords = "Associated pair, Fractional Cauchy–Riemann, Fractional calculus, Generalized analytic functions, Linear fractional differential system",

author = "Johan Ceballos and Nicol{\'a}s Coloma and \{Di Teodoro\}, Antonio and Diego Ochoa–Tocachi",

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AU - Ceballos, Johan

AU - Coloma, Nicolás

AU - Di Teodoro, Antonio

AU - Ochoa–Tocachi, Diego

PY - 2020/11/1

Y1 - 2020/11/1

N2 - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

AB - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

KW - Associated pair

KW - Fractional Cauchy–Riemann

KW - Fractional calculus

KW - Generalized analytic functions

KW - Linear fractional differential system

UR - https://www.scopus.com/pages/publications/85092513353

U2 - 10.1007/s00006-020-01096-2

DO - 10.1007/s00006-020-01096-2

M3 - Artículo

AN - SCOPUS:85092513353

SN - 0188-7009

VL - 30

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 5

M1 - 70

ER -

Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Abstract

Keywords

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