A fractional Borel–Pompeiu type formula and a related fractional ψ−Fueter operator with respect to a vector-valued function

José Oscar González-Cervantes; Juan Bory-Reyes

doi:10.1002/mma.8625

A fractional Borel–Pompeiu type formula and a related fractional ψ−Fueter operator with respect to a vector-valued function

José Oscar González-Cervantes, Juan Bory-Reyes

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

Abstract

In this paper, we combine the fractional (Formula presented.) hyperholomorphic function theory with the fractional calculus with respect to another function. As a main result, a fractional Borel–Pompeiu type formula related to a fractional (Formula presented.) Fueter operator with respect to a vector-valued function is proved.

Original language	English
Pages (from-to)	2012-2022
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	2
DOIs	https://doi.org/10.1002/mma.8625
State	Published - 30 Jan 2023

Keywords

Borel–Pompeiu formula
fractional Fueter operator with respect to a vector-valued function
fractional calculus
quaternionic analysis

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10.1002/mma.8625

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abstract = "In this paper, we combine the fractional (Formula presented.) hyperholomorphic function theory with the fractional calculus with respect to another function. As a main result, a fractional Borel–Pompeiu type formula related to a fractional (Formula presented.) Fueter operator with respect to a vector-valued function is proved.",

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KW - fractional Fueter operator with respect to a vector-valued function

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KW - quaternionic analysis

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A fractional Borel–Pompeiu type formula and a related fractional ψ−Fueter operator with respect to a vector-valued function

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Keywords

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