A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS(2023)
摘要
The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.
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关键词
Bicomplex analysis,Riemann-Liouville and Caputo derivatives,Cauchy-Riemann operator,Borel-Pompeiu formula
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