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A new fractional operator of variable order: application in the description of anomalous diffusion
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Orientador(es)
Resumo(s)
In this paper, a new fractional operator of variable order with the use of
the monotonic increasing function is proposed in sense of Caputo type. The
properties in term of the Laplace and Fourier transforms are analyzed and the
results for the anomalous diffusion equations of variable order are discussed.
The new formulation is efficient in modeling a class of concentrations in the
complex transport process.
Descrição
Palavras-chave
Fractional derivative of variable-order Laplace transform Fourier transform Anomalous diffusion
Contexto Educativo
Citação
Editora
Elsevier