The causal
            <i>α</i>
            -exponential and the solution of fractional linear time-invariant systems

Bengochea, G.; Ortigueira, M.; Verde-Star, L.

doi:10.1080/00207721.2024.2321369

International Journal of Systems Science

2024

DOI: 10.1080/00207721.2024.2321369

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The causal α -exponential and the solution of fractional linear time-invariant systems

G. Bengochea,

M. Ortigueira,

L. Verde-Star

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2024

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Searching for Sonin kernels

Ortigueira

2024

Fract Calc Appl Anal

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The causal shift-invariant convolution is studied from the point of view of inversion. Abel’s algorithm, used in the tautochrone problem, is considered and Sonin’s existence condition is deduced. To generate pairs of functions verifying Sonin’s condition, the class of Mittag-Leffler type functions is used. In particular, functions that are impulse responses of ARMA(N,N) systems serve as a basis. The possible use of Abel’s procedure as a support for introducing generalized fractional derivatives is evaluated.

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Searching for Sonin kernels

Ortigueira

2024

Fract Calc Appl Anal

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The causal α -exponential and the solution of fractional linear time-invariant systems

Cited by 1 publication

References 33 publications

Searching for Sonin kernels

Searching for Sonin kernels

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