The local fractional natural transform and its applications to differential equations on Cantor sets

The work that we have done in this paper is the coupling method between the local fractional derivative and the Natural transform (we can call it the local fractional Natural transform), where we have provided some essential results and properties. We have applied this method to some linear local fr...

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Bibliographic Details
Published in:Open Journal of Mathematical Analysis 2023-12, Vol.7 (1), p.1-9
Main Authors: Ziane, Djelloul, Cherif, Mountassir Hamdi
Format: Article
Language:English
Online Access:Get full text
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Summary:The work that we have done in this paper is the coupling method between the local fractional derivative and the Natural transform (we can call it the local fractional Natural transform), where we have provided some essential results and properties. We have applied this method to some linear local fractional differential equations on Cantor sets to get nondifferentiable solutions. The results show this transform’s effectiveness when we combine it with this operator.
ISSN:2616-8103
2616-8111
DOI:10.30538/psrp-oma2023.0119