A Bicomplex Proportional Fractional (<i>ϑ</i>,<i>φ</i>)-Weighted Cauchy–Riemann Operator Using Riemann–Liouville Derivatives with Respect to an Hyperbolic-Valued Function

A Bicomplex Proportional Fractional (<i>ϑ</i>,<i>φ</i>)-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics>...

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Bibliographic Details
Main Authors: José Oscar González-Cervantes, Juan Bory-Reyes, Juan Adrián Ramírez-Belman
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
bicomplex analysis
proportional fractional integrals
derivatives with respect to another function
Riemann–Liouville derivatives
Cauchy–Riemann operator
Borel–Pompeiu formula
Online Access:https://www.mdpi.com/2504-3110/9/1/1
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