Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits

Amal Alshabanat, Mohamed Jleli, Sunil Kumar, Bessem Samet
2020 Frontiers in Physics  
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.
doi:10.3389/fphy.2020.00064 fatcat:qkcxmxpuincv7bzsvqiamcpcni