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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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) …