[HTML][HTML] Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative

S Alizadeh, D Baleanu, S Rezapour - Advances in Difference Equations, 2020 - Springer
In this paper, the transient response of the parallel RCL circuit with Caputo–Fabrizio
derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the …

Fractional-order bio-impedance modeling for interdisciplinary applications: A review

M Mohsen, LA Said, AH Madian, AG Radwan… - IEEE …, 2021 - ieeexplore.ieee.org
Bio-impedance circuit modeling is a popular and effective non-invasive technique used in
medicine and biology to fit the measured spectral impedance data of living or non-living …

[PDF][PDF] Derivatives With Non-Singular Kernels From the Caputo-Fabrizio Definition and Beyond: Appraising analysis with emphasis o....

J Hristov - Frontiers, 2017 - researchgate.net
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 …

Fractional order battery modelling methodologies for electric vehicle applications: Recent advances and perspectives

JP Tian, R Xiong, WX Shen, FC Sun - Science China Technological …, 2020 - Springer
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 …

Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels

A Fernandez, P Mohammed - Mathematical Methods in the …, 2021 - Wiley Online Library
Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels -
Fernandez - 2021 - Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to …

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC–Fractional Volterra integro-differential equations

OA Arqub, B Maayah - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper focuses on providing a novel high-order algorithm for the numerical solutions of
fractional order Volterra integro-differential equations using Atangana–Baleanu approach by …

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 …

New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications

JF Gómez-Aguilar, A Atangana - The European Physical Journal Plus, 2017 - Springer
Some physical problems found in nature can follow the power law; others can follow the
Mittag-Leffler law and others the exponential decay law. On the other hand, one can observe …

Real world applications of fractional models by Atangana–Baleanu fractional derivative

E Bas, R Ozarslan - Chaos, Solitons & Fractals, 2018 - Elsevier
In this study, some modeling problems, Newton,'s law of cooling, population growth, logistic
equation, blood alcohol model, are considered by Atangana–Baleanu fractional derivative …

System of fractional differential algebraic equations with applications

B Shiri, D Baleanu - Chaos, Solitons & Fractals, 2019 - Elsevier
One of the important classes of coupled systems of algebraic, differential and fractional
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …