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

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 a...

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2020-11, Vol.30 (5), Article 70
Main Authors: Ceballos, Johan, Coloma, Nicolás, Di Teodoro, Antonio, Ochoa–Tocachi, Diego
Format: Article
Language:English
Subjects:
Applications of Mathematics
Differential equations
Mathematical and Computational Physics
Mathematical Methods in Physics
Operators (mathematics)
Physics
Physics and Astronomy
T.C. ISAAC 12 Aveiro
Theoretical
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Summary: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.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-020-01096-2