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The Fractional Differential Polynomial Neural Network for Approximation of Functions

Rabha W. Ibrahim

Entropy · 2013

doi:10.3390/e15104188 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY

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