Premium
Fractional operator without singular kernel: Applications to linear electrical circuits
Author(s) -
MoralesDelgado Victor F.,
GómezAguilar José F.,
TanecoHernández Marco A.,
EscobarJiménez Ricardo F.
Publication year - 2018
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2564
Subject(s) - laplace transform , mathematics , operator (biology) , convolution (computer science) , kernel (algebra) , fractional calculus , convolution theorem , exponential function , gravitational singularity , mathematical analysis , computer science , pure mathematics , fourier transform , fractional fourier transform , fourier analysis , biochemistry , chemistry , repressor , machine learning , artificial neural network , transcription factor , gene
Summary This paper presents the analytical solutions of fractional linear electrical systems by using the Caputo‐Fabrizio fractional‐order operator in Liouville‐Caputo sense. This novel operator involves an exponential kernel without singularities. The fractional equations were solved analytically by using the properties of Laplace transform operator, as well as the convolution theorem. To validate the analytical solutions, numerical simulations were carried out.