Alpha fractional frequency Laplace transform through multiseries

Abdeljawad, ThabetMurugesan, MeganathanJarad, FahdAbdeljawad, ThabetGnanaprakasam, Britto Antony XavierJarad, Fahd2022-03-102022-03-102020Murugesan, Meganathan...et al. (2020). "Alpha fractional frequency Laplace transform through multiseries", Advances in Difference Equations, Vol. 2020, No. 1.1687-1839https://hdl.handle.net/20.500.12416/5107Our 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.eninfo:eu-repo/semantics/openAccessCircular FunctionMultiseriesLaplace TransformFractional FrequencyTuning FactorAlpha fractional frequency Laplace transform through multiseriesAlpha Fractional Frequency Laplace Transform Through MultiseriesArticle2020110.1186/s13662-020-02691-0