an:06578373
Zbl 1357.68172
Ibrahim, Rabha W.
The fractional differential polynomial neural network for approximation of functions
EN
Entropy 15, No. 10, 4188-4198 (2013).
00355277
2013
j
68T05 26A33 34A08
fractional calculus; fractional differential equations; fractional polynomial neural network
Summary: 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.