The role of fractional calculus in modeling biological phenomena: A review

C Ionescu, A Lopes, D Copot, JAT Machado… - … in Nonlinear Science …, 2017 - Elsevier
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …

Photonic-electronic integrated circuits for high-performance computing and ai accelerators

S Ning, H Zhu, C Feng, J Gu, Z Jiang… - Journal of Lightwave …, 2024 - ieeexplore.ieee.org
In recent decades, the demand for computational power has surged, particularly with the
rapid expansion of artificial intelligence (AI). As we navigate the post-Moore's law era, the …

A new spiking convolutional recurrent neural network (SCRNN) with applications to event-based hand gesture recognition

Y Xing, G Di Caterina, J Soraghan - Frontiers in neuroscience, 2020 - frontiersin.org
The combination of neuromorphic visual sensors and spiking neural network offers a high
efficient bio-inspired solution to real-world applications. However, processing event-based …

Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise

MS Kafraj, F Parastesh, S Jafari - Chaos, Solitons & Fractals, 2020 - Elsevier
The neuron's behavior is related to the changes in its complex electrophysiological
environment such as variations in ion concentration. In this paper, a three-variable …

A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications

ZM Shah, MY Kathjoo, FA Khanday, K Biswas… - Microelectronics …, 2019 - Elsevier
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …

Design of impulsive controllers and impulsive control strategy for the Mittag-Leffler stability behavior of fractional gene regulatory networks

T Stamov, I Stamova - Neurocomputing, 2021 - Elsevier
In this paper, we consider fractional-order gene regulatory networks. The impulsive effects
on their Mittag-Leffler stability properties are investigated and new criteria are proposed. The …

Firing activities of a fractional-order FitzHugh-Rinzel bursting neuron model and its coupled dynamics

A Mondal, SK Sharma, RK Upadhyay, A Mondal - Scientific reports, 2019 - nature.com
Fractional-order dynamics of excitable systems can be physically described as a memory
dependent phenomenon. It can produce diverse and fascinating oscillatory patterns for …

Dendritic organic electrochemical transistors grown by electropolymerization for 3D neuromorphic engineering

K Janzakova, M Ghazal, A Kumar, Y Coffinier… - Advanced …, 2021 - Wiley Online Library
One of the major limitations of standard top‐down technologies used in today's
neuromorphic engineering is their inability to map the 3D nature of biological brains. Here, it …

Synchronization and FPGA realization of fractional-order Izhikevich neuron model

MF Tolba, AH Elsafty, M Armanyos, LA Said… - Microelectronics …, 2019 - Elsevier
This paper generalizes the Izhikevich neuron model in the fractional-order domain for better
modeling of neuron dynamics. Accurate and computationally efficient numerical techniques …

On numerical approximations of fractional-order spiking neuron models

AM AbdelAty, ME Fouda, AM Eltawil - Communications in Nonlinear …, 2022 - Elsevier
Fractional-order spiking neuron models can enrich model flexibility and dynamics due to the
extra degrees of freedom. This paper aims to study the effects of applying four different …