AUTHOR=Alshabanat Amal , Jleli Mohamed , Kumar Sunil , Samet Bessem TITLE=Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits JOURNAL=Frontiers in Physics VOLUME=8 YEAR=2020 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00064 DOI=10.3389/fphy.2020.00064 ISSN=2296-424X ABSTRACT=

A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some applications to RC-electrical circuits are provided.