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 this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

To answer some issues raised about the concept of fractional differentiation and integration
based on the exponential and Mittag-Leffler laws, we present, in this paper, fundamental …

Recently fractional differential operators with non-index law properties have being
recognized to have brought new weapons to accurately model real world problems …

We presented an analysis of evolutions equations generated by three fractional derivatives
namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional …

Fractional calculus as was predicted by Leibniz to be a paradox, has nowadays evolved to
become a centre of interest for many researchers from various backgrounds. As a result …

How do nonlinear clocks in time and/or space affect the fundamental properties of a
stochastic process? Specifically, how precisely may ergodic processes such as fractional …

On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio
derivation | Boundary Value Problems Skip to main content SpringerLink Account Menu …

The purpose of this paper is to study the existence and uniqueness of the solution of
nonlinear fractional differential equations with Mittag–Leffler nonsingular kernel. Two …

The paper is devoted to investigate three different points including the importance,
usefulness of the Bode diagram in calculus including classical and fractional on one hand …