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Paper detail

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

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.

preprint2020arXivOpen access
Juan Bory-ReyesMarco Antonio Pérez-de la Rosa
math.AP
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Juan Bory-ReyesMarco Antonio Pérez-de la Rosa

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