This paper focuses on the fractional difference of Lyapunov functions related to Riemann–
Liouville, Caputo and Grünwald–Letnikov definitions. A new way of building Lyapunov …

Kinematic analysis of under-constrained cable-driven parallel robots (CDPR) has been a
topic of interest because of the inherent coupling between the loop-closure and static …

In this paper, we investigate the identification problem of the Hammerstein nonlinear
systems. In order to approximate the nonlinear block and for the convenience of analyzing …

The prime concern of this study is to simulate the joint effect for the presence of two fractional
derivative parameters (memory indices) by providing a novel analytical solution scheme for …

Discrete tempered fractional calculus, as a fresh generalization of discrete fractional
calculus, takes both the advantages of discrete fractional calculus and its tempered …

A fractional order constitutive behavior law is proposed in this paper to describe the
viscoelasticity of the nonlinear rod. The fractional governing equation of the nonlinear …

The classical Leibniz rule for the integer difference cannot be easily applicable for the
fractional counterpart. It further leads to a great difficulty in the calculation of the Lyapunov …

A pathological study in the definition of uncertain numbers is carried out, and some solutions
are proposed. Fundamental theorems for uncertain discrete fractional and integer order …

This paper focuses on the equivalent expression of fractional integrals/derivatives with an
infinite series. A universal framework for fractional Taylor series is developed by expanding …

The primary work of this paper is to investigate some potential properties of Grünwald–
Letnikov discrete fractional calculus. By employing a concise and convenient description …