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 …

The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

In recent years, many papers discuss the theory and applications of new fractional-order
derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann …

A novel fractional model based on the Riemann Liouville fractional derivative to simulate the
thermal performance of conventional solar still and show the effect of using hybrid nanofluid …

The main goal of machine learning is the creation of self-learning algorithms in many areas
of human activity. It allows a replacement of a person with artificial intelligence in seeking to …

Damping is largely increasing with the vibration amplitude during nonlinear vibrations of
rectangular plates. At the same time, soft materials present an increase in their stiffness with …

In the realm of Internet of Things (IoT) systems, the interconnectivity of physical hardware
devices is a fundamental aspect, and as a result, data exchange assumes a critical role in …

This paper presents a new parameter estimation approach for fractional chaotic systems
based on stepwise integration and response sensitivity analysis. This paper mainly consists …

Our attempt is an axiomatic approach to find all classes of possible definitions for fractional
derivatives with three axioms. In this paper, we consider a special case of linear integro …