Variable-Order Fractional Scale Calculus

Valério, Duarte; Ortigueira, Manuel D.

http://hdl.handle.net/10362/163982

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Autores

Valério, Duarte

Ortigueira, Manuel D.

Resumo(s)

General variable-order fractional scale derivatives are introduced and studied. Both the stretching and the shrinking cases are considered for definitions of the derivatives of the GL type and of the Hadamard type. Their properties are deduced and discussed. Fractional variable-order systems of autoregressive–moving-average type are introduced and exemplified. The corresponding transfer functions are obtained and used to find the corresponding impulse responses.

Descrição

Palavras-chave

Hadamard derivative logarithmic series scale derivative variable-order derivative Computer Science (miscellaneous) General Mathematics Engineering (miscellaneous)