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 …

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 …

[HTML][HTML] Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

D Baleanu, SS Sajjadi, JH Asad, A Jajarmi… - Advances in Difference …, 2021 - Springer
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

[图书][B] General fractional derivatives: theory, methods and applications

XJ Yang - 2019 - taylorfrancis.com
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

Co-estimation of state of charge and state of health for lithium-ion batteries based on fractional-order calculus

X Hu, H Yuan, C Zou, Z Li… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Lithium-ion batteries have emerged as the state-of-the-art energy storage for portable
electronics, electrified vehicles, and smart grids. An enabling Battery Management System …

Fractional order mathematical modeling of COVID-19 transmission

S Ahmad, A Ullah, QM Al-Mdallal, H Khan… - Chaos, Solitons & …, 2020 - Elsevier
In this article, the mathematical model with different compartments for the transmission
dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order …

[HTML][HTML] On a fractional operator combining proportional and classical differintegrals

D Baleanu, A Fernandez, A Akgül - Mathematics, 2020 - mdpi.com
The Caputo fractional derivative has been one of the most useful operators for modelling
non-local behaviours by fractional differential equations. It is defined, for a differentiable …

[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

New properties of conformable derivative

A Atangana, D Baleanu, A Alsaedi - Open Mathematics, 2015 - degruyter.com
New properties of conformable derivative Page 1 © 2015 Atangana et al., published by De
Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs …

[HTML][HTML] A new general integral transform for solving integral equations

H Jafari - Journal of Advanced Research, 2021 - Elsevier
Introduction Integral transforms are important to solve real problems. Appropriate choice of
integral transforms helps to convert differential equations as well as integral equations into …