Alpha fractional frequency Laplace transform through multiseries

Alpha fractional frequency Laplace transform through multiseries

Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions as well. For use in numerical results, we derive a finite summation formula...

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Veröffentlicht in:Advances in difference equations 2020-05, Vol.2020 (1), p.1-14, Article 234
Hauptverfasser: Murugesan, Meganathan, Abdeljawad, Thabet, Gnanaprakasam, Britto Antony Xavier, Jarad, Fahd
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Circular function
Difference and Functional Equations
Fractional frequency
Functional Analysis
Laplace transform
Laplace transforms
Mathematical analysis
Mathematics
Mathematics and Statistics
Multiseries
Ordinary Differential Equations
Partial Differential Equations
Tuning factor
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Beschreibung
Zusammenfassung:Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions as well. For use in numerical results, we derive a finite summation formula and m -series formulas. Moreover, we discuss various explanatory examples.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02691-0