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Numerical approximation of Riemann‐Liouville definition of fractional derivative: from Riemann‐Liouville to Atangana‐Baleanu
In the last decade, theoretical and applied studies were done in order to provide a suitable
definition of fractional derivative, which meets all the requirement of a derivative in its …
definition of fractional derivative, which meets all the requirement of a derivative in its …
Derivatives with non-singular kernels from the Caputo-Fabrizio definition and beyond: Appraising analysis with emphasis on diffusion models
This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …
Fractional order battery modelling methodologies for electric vehicle applications: Recent advances and perspectives
Accurate modelling of lithium ion batteries is crucial for battery management in electric
vehicles. Recent studies have revealed the fractional order nature of lithium ion batteries …
vehicles. Recent studies have revealed the fractional order nature of lithium ion batteries …
[HTML][HTML] Analytical solution of fractional differential equations by Akbari–Ganji's method
According to the various and extensive applications of fractional calculus in a range of fields,
such as engineering, biology, image processing, material science and economics …
such as engineering, biology, image processing, material science and economics …
Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
The nature is very complex to model with mathematical equations. Some physical problems
found in nature could follow the power law; other could follow the Mittag–Leffler law and …
found in nature could follow the power law; other could follow the Mittag–Leffler law and …
Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit
The new idea of Atangana and Baleanu introduced recently for fractional derivatives has
received tremendous attention from researchers of various fields. However, this idea has not …
received tremendous attention from researchers of various fields. However, this idea has not …
[HTML][HTML] Assessing the efficacy of polyaluminium chlorides in improving pool water quality using impedance spectroscopy
This paper describes an experimental study on the effects of polyaluminium chloride (PAC)
on pH, turbidity, and electrical properties of pool water. Our results demonstrates that as the …
on pH, turbidity, and electrical properties of pool water. Our results demonstrates that as the …
Fabrication of silane-based surface coating with Ag/TiO2 hybridization and its anti-corrosion performance on metal surface
Y Shi, Y Nie, H Xu, P Bi, B Chen, X Hou, H Ma… - Colloids and Surfaces A …, 2023 - Elsevier
Surface coating technology is an effective anti-corrosion strategy which can form a layer of
anti-corrosion film on metal surface, effectively preventing it from oxidation and corrosion …
anti-corrosion film on metal surface, effectively preventing it from oxidation and corrosion …
Ferromagnetic core coil hysteresis modeling using fractional derivatives
The modeling of a ferromagnetic core coil magnetic hysteresis has been considered. The
measurement basis consisted of waveforms that have been recorded for various levels of …
measurement basis consisted of waveforms that have been recorded for various levels of …
[کتاب][B] Applications of fractional calculus to modeling in dynamics and chaos
JF Gomez-Aguilar, A Atangana - 2022 - books.google.com
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present
novel developments, trends, and applications of fractional-order derivatives with power law …
novel developments, trends, and applications of fractional-order derivatives with power law …