The Fractional Differential Polynomial Neural Network for Approximation of Functions

Entropy

关键词: fractional calculus;    fractional differential equations;    fractional polynomial neural network;   

DOI  :  10.3390/e15104188

来源: mdpi

【 摘 要 】

In this work, we introduce a generalization of the differential polynomial neural network utilizing fractional calculus. Fractional calculus is taken in the sense of the Caputo differential operator. It approximates a multi-parametric function with particular polynomials characterizing its functional output as a generalization of input patterns. This method can be employed on data to describe modelling of complex systems. Furthermore, the total information is calculated by using the fractional Poisson process.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.