Derivative (finance)

Physics

Exponential function

Operator (biology)

Electrical network

Trigonometry

Mathematics

Transcription factor

Gene

Financial economics

Electronic circuit

Fractional calculus

Mathematical analysis

Repressor

Economics

Generalization

Chemistry

Quantum mechanics

Applied mathematics

Biochemistry

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.

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