A Bicomplex Proportional Fractional (ϑ,φ)-Weighted Cauchy–Riemann Operator Using Riemann–Liouville Derivatives with Respect to an Hyperbolic-Valued Function
Based on the Riemann–Liouville derivatives with respect to functions taking values in the set of hyperbolic numbers, we consider a new bicomplex proportional fractional (ϑ,φ)-weighted Cauchy–Riemann operator, involving orthogonal bicomplex functions as weights, and its associated fractional Borel–Pompeiu formula is proved as the main result.
Authors
- Juan Bory Reyes (ORCID: https://orcid.org/0000-0002-7004-1794)
- José Óscar González-Cervantes (ORCID: https://orcid.org/0000-0003-4835-5436)
- Juan Adrián Ramírez-Belman
Institutions
- Instituto Politécnico Nacional (MX)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-12-24
- DOI
- https://doi.org/10.3390/fractalfract9010001
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Instituto Politécnico Nacional
- Consejo Nacional de Ciencia y Tecnología