EFCY stands for "Edge-Fractional-Order Calculus-based Yang (FRY) approximation," which is a mathematical algorithm used in the field of fractional calculus.
Fractional calculus is a branch of mathematics that deals with differentiation and integration of non-integer order. It extends the concept of the traditional integer-order calculus by allowing fractional powers and fractional orders. This field finds applications in various disciplines, including physics, engineering, finance, and signal processing, where phenomena exhibit non-local and memory-dependent behaviors.
EFCY is a specific approximation method within the realm of fractional calculus-based approximation techniques. It is based on the Yang-FRA (Yang Fractional Rational Approximation) algorithm, which approximates real and complex functions using fractional calculus. EFCY introduces the concept of the edge operator, which reduces the error of the approximation.
The EFCY algorithm combines the concepts of fractional calculus and rational approximation to compute approximations of functions that involve fractional-order derivatives or integrals with high accuracy. This technique has been proven to be effective in various applications, including image processing, system identification, and control systems.
In conclusion, EFCY is a mathematical algorithm used in the field of fractional calculus to approximate functions involving fractional-order derivatives or integrals. It employs the concept of the edge operator to improve the accuracy of the approximation. Overall, EFCY plays an essential role in various scientific and engineering disciplines for modeling and analyzing complex systems.
