Fractional derivative of power type functions

Bengochea Gabriel, Ortigueira Manuel

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
2 Downloads (Pure)

Abstract

Non-square integrable, power type, signals are introduced and studied with generality. The problems associated with the definition of their suitable fractional derivatives are discussed and solved. Two particular, very important, cases are treated with detail: the almost periodic signals and the stationary stochastic processes. For them, correlations and corresponding generalized harmonic analysis are introduced and studied.
Original languageEnglish
Number of pages18
JournalComputational and Applied Mathematics
Volume41
Issue number8
DOIs
Publication statusPublished - Dec 2022

Keywords

  • Power type signal
  • Almost periodic
  • Unified fractional derivative
  • Autocorrelation

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