Fractional type multivariate neural network operators

ABSTRACT

In this paper, we introduce a novel family of multivariate neural network operators involving Riemann‐Liouville fractional integral operator of order α. Their pointwise and uniform approximation results are presented, and new results concerning the rate of convergence in terms of the modulus of continuity are estimated. Moreover, several graphical and numerical results are presented to demonstrate the accuracy, applicability, and efficiency of the operators through special activation functions. Finally, an illustrative real‐world example on the recent trend of novel corona virus Covid‐19 has been investigated in order to demonstrate the modeling capabilities of the proposed neural network operators.