A new collection of real world applications of fractional calculus in science and engineering

HG Sun, Y Zhang, D Baleanu, W Chen… - … in Nonlinear Science and …, 2018 - Elsevier
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

Review of fractional-order electrical characterization of supercapacitors

A Allagui, TJ Freeborn, AS Elwakil, ME Fouda… - Journal of Power …, 2018 - Elsevier
The tests and calculation of the key performance metrics of supercapacitors including
capacitance, power and energy stored are commonly reported by the academia and the …

Reevaluation of performance of electric double-layer capacitors from constant-current charge/discharge and cyclic voltammetry

A Allagui, TJ Freeborn, AS Elwakil, BJ Maundy - Scientific reports, 2016 - nature.com
The electric characteristics of electric-double layer capacitors (EDLCs) are determined by
their capacitance which is usually measured in the time domain from constant-current …

A novel fractional variable-order equivalent circuit model and parameter identification of electric vehicle Li-ion batteries

Q Zhang, Y Shang, Y Li, N Cui, B Duan, C Zhang - ISA transactions, 2020 - Elsevier
Accurate Li-ion battery modeling is integral to the design of effective battery management
systems in electric vehicles. However, the voltage–current (U–I) characteristic of Li-ion …

A novel image encryption system merging fractional-order edge detection and generalized chaotic maps

SM Ismail, LA Said, AG Radwan, AH Madian… - Signal Processing, 2020 - Elsevier
This paper presents a novel lossless image encryption algorithm based on edge detection
and generalized chaotic maps for key generation. Generalized chaotic maps, including the …

Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives

JF Gómez‐Aguilar, A Atangana… - … Journal of Circuit …, 2017 - Wiley Online Library
In this paper, the analytical solutions for the electrical series circuits RC, LC, and RL using
novel fractional derivatives of type Atangana–Baleanu with non‐singular and nonlocal …

Firing patterns in a fractional-order FithzHugh–Nagumo neuron model

Z Yao, K Sun, S He - Nonlinear Dynamics, 2022 - Springer
Various neuron models and circuits have been developed to explore how neurons detect
and encode different stimuli. However, relevant researches failed to consider edge effects …

Fractional-order control techniques for renewable energy and energy-storage-integrated power systems: A review

M Alilou, H Azami, A Oshnoei… - Fractal and …, 2023 - mdpi.com
The worldwide energy revolution has accelerated the utilization of demand-side
manageable energy systems such as wind turbines, photovoltaic panels, electric vehicles …

Single-step exfoliation of black phosphorus and deposition of phosphorene via bipolar electrochemistry for capacitive energy storage application

AR Baboukani, I Khakpour, V Drozd… - Journal of Materials …, 2019 - pubs.rsc.org
Black phosphorus (BP) is a two-dimensional material that has gained attention for various
applications due to its exceptional physical and chemical properties such as tunable …

Parameterization of the apparent chemical inductance of metal halide perovskite solar cells exhibiting constant-phase-element behavior

E Hernández-Balaguera, B Arredondo, C Pereyra… - Journal of Power …, 2023 - Elsevier
A better characterization of the rich variety of anomalous ionic-electronic mechanisms in
organic-inorganic metal halide perovskite solar cells is essential to obtain a stable and …