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

By Amal Alshabanat, Mohamed Jleli, Sunil Kumar, Bessem Samet. Frontiers of Physics, 2020

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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.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ac48857f6c1ffe432bebe134b530731722f51ca0