On local fractional operators view of computational complexity

Yang, Xiao-Jun; Zhang, Zhi-Zhen; Machado, J. A. Tenreiro; Baleanu, Dumitru

http://hdl.handle.net/10400.22/9415

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Autores

Yang, Xiao-Jun

Zhang, Zhi-Zhen

Machado, J. A. Tenreiro

Baleanu, Dumitru

Resumo(s)

This paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets are calculated. Comparative results with other versions of the local fractional derivatives are discussed.

Palavras-chave

complex systems Diffusion equation Relaxation equation Local fractional derivative Cantor set

URI

http://hdl.handle.net/10400.22/9415

Editora

Society of Thermal Engineers of Serbia

DOI

10.2298/TSCI16S3723Z

Coleções

ISEP - DEE - Artigos

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