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arXiv · 2005.05150

Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems

Juan Bory-Reyes·Marco Antonio Pérez-de la Rosa
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Abstract

In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two examples for the Helmholtz equation with local fractional derivatives on the Cantor sets are shown by making use of this local fractional Moisil-Teodorescu operator.

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Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa. 2020-05-11. Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems. https://doi.org/10.1002/mma.6767

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