Discrete fractional calculus (𝒟 ℱ 𝒞) is significant for neural networks, complex dynamic
systems and frequency response analysis approaches. In contrast with the continuous-time …

Often referred to as special functions or mathematical functions, the origin of many members
of the remarkably vast family of higher transcendental functions can be traced back to such …

In this paper, some attempts have been devoted to investigating the dynamic features of
discrete fractional calculus (DFC). To date, discrete fractional systems with complex …

In this paper, a three-dimensional fractional-order (FO) discrete Hopfield neural network
(FODHNN) in the left Caputo discrete delta's sense is proposed, the dynamic behavior and …

New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …

This book deals with the existence and stability of solutions to initial and boundary value
problems for functional differential and integral equations and inclusions involving the …

In this manuscript, we define the generalized fractional derivative on AC (gamma)(n)[a, b],
the space of functions defined on [a, b] such that gamma (n-1) f is an element of AC [a, b] …

Discrete fractional calculus is suggested to describe neural networks with memory effects.
Fractional discrete-time recurrent neural network is proposed on an isolated time scale …

This article studies synchronization issues for a class of discrete-time fractional-order
quaternion-valued uncertain neural networks (DFQUNNs) using nonseparation method …

This study explores some significant consequences of discrete ℏ ̂-proportional fractional
sums (D ℏ ̂ PF s) having an exponential function as a nonlocal kernel. Certain novel …