NILT and Prony technique for new definitions of fractional calculus for modeling very slow decay phenomena
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.2053
Abstract: Based on the data from the Tesla users about the degradation of Tesla Model S battery capacity, this paper introduces two new definitions of fractional integrals and derivatives to describe these very slow decay phenomena,… read more here.
Keywords: fractional calculus; decay phenomena; new definitions; definitions fractional ... See more keywords
Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives
Sign Up to like & getrecommendations! Published in 2021 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2021.1883767
Abstract: In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition. Hence, an an... read more here.
Keywords: caputo; caputo fabrizio; generalized fractional; classical caputo ... See more keywords