Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …

This paper introduces an intensive discussion for the dynamical model of the love triangle in
both integer and fractional-order domains. Three different types of nonlinearities soft, hard …

This paper proposes FPGA realization of an IP core for generic fractional-order derivative
based on Grünwald-Letnikov approximation. This generic design is applied to achieve …

Exploring the use of fractional calculus is essential for it to be used properly in various
applications. Implementing the fractional operator D α in FPGA is an important research …

This paper generalizes the Izhikevich neuron model in the fractional-order domain for better
modeling of neuron dynamics. Accurate and computationally efficient numerical techniques …

This paper proposes a new fractional-order multi-scrolls chaotic system. More complex
systems and flexible ranges of the chaotic behavior are obtained due to the extra …

Batteries act as one of the primary sources of energy for high power Hybrid Electric Vehicle
(HEV). The life of the battery becomes a significant constraint while building an HEV. So …

In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary
value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function …

Fractional order memory elements (FOMEs), which exhibit marked memory and nonlinear
characteristics, have found broad utilization across an array of interdisciplinary fields …

The efficiency of the hardware implementations of fractional-order systems heavily relies on
the efficiency of realizing the fractional-order derivative operator. In this work, a generic …