Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs

Abstract

In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recognize the accuracy of CNNs.

Keywords

• fractional calculus
• fractional operator
• fractional entropy
• CNNs
• analytic function
• unit disk