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

Frontiers in Physics

Bessem Samet¹  Mohamed Jleli¹  Amal Alshabanat¹  Sunil Kumar² 

[1] Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, National Institute of Technology, Jamshedpur, India;

关键词: fractional derivative;    non-singular kernel;    Picard iteration;    RC-electrical circuit;    convergence;   

DOI  :  10.3389/fphy.2020.00064

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown