Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

In many dynamic processes, the fractional differential operators not only appear as discrete
fractional, but they also possess a continuous nature in a sense that their order is distributed …

Adaptive modified projective function synchronization of non-linear distributive fractional
order complex dynamical networks (DFCDN) is addressed in this paper. Firstly, we have …

Distributed-order calculus can be understood as a further generalisation of integer-and
fractional-order calculus. Such a general case allows the modelling and understanding of a …

The Lyapunov direct method is a powerful tool for analyzing the stability of nonlinear
dynamical systems. However, most existing research has primarily focused on asymptotic …

A distributed-order time-and Riesz space-fractional Schrödinger equation (DOT–RSFSE) is
considered. Distributed-order derivatives indicate fractional derivatives that are integrated …

In this work, we introduced the distributed-order neural networks (DONNs) which are the
generalization of integer and fractional orders neural networks. We presented and proved …

This study delves into the origin, evolution, and practical applications of fractional difference
inequalities based on recent literature. The review provides an overview of existing …

In this paper, we study the recently proposed fractional-order operators with general analytic
kernels. The kernel of these operators is a locally uniformly convergent power series that …

This paper addresses the issue of stability analysis of nabla fractional order systems, which
is crucial when applying fractional calculus to control problems in engineering applications …