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math.AP2020★ 3 cited
Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa
In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two exa…
math.CV2020★ 3 cited
Generalized Laplacian decomposition of vector fields on fractal surfaces
Daniel González Campos, Marco Antonio Pérez de la Rosa, Juan Bory Reyes
We consider the behavior of generalized Laplacian vector fields on a Jordan domain of with fractal boundary. Our approach is based on properties of the Teodorescu…