Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative
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 …
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
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 …
medicine and biology to fit the measured spectral impedance data of living or non-living …
Derivatives with non-singular kernels from the Caputo-Fabrizio definition and beyond: Appraising analysis with emphasis on diffusion models
J Hristov - Frontiers in fractional calculus, 2018 - benthamdirect.com
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 …
Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels -
Fernandez - 2021 - Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to …
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 …
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 …
novel fractional derivatives of type Atangana–Baleanu with non‐singular and nonlocal …
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 …
equation, blood alcohol model, are considered by Atangana–Baleanu fractional derivative …
System of fractional differential algebraic equations with applications
One of the important classes of coupled systems of algebraic, differential and fractional
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …
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 …
Mittag-Leffler law and others the exponential decay law. On the other hand, one can observe …