Results 241 to 250 of about 1,624,926 (272)

ANALOG IMPLEMENTATION OF FRACTIONAL-ORDER ELECTRIC ELEMENTS USING CAPUTO–FABRIZIO AND ATANGANA–BALEANU DEFINITIONS

Fractals, 2021
This study employs the Caputo–Fabrizio and Atangana–Baleanu fractional derivatives to determine the impedance and admittance model of fractional capacitor and inductor. The analog implementation circuits are proposed aiming at fractional-order electric elements based on these two derivatives, which can be widely used in a variety of electrical systems ...
XIAOZHONG LIAO, DA LIN, LEI DONG, MANJIE RAN, DONGHUI YU   +4 more
openaire   +2 more sources

On the definition of fractional derivatives in rheology

Theoretical and Applied Mechanics Letters, 2011
During the last two decades fractional calculus has been increasingly applied to physics, especially to rheology. It is well known that there are obivious differences between Riemann-Liouville (R-L) definition and Caputo definition, which are the two ...
Ke-Qin Zhu
exaly   +2 more sources

Comparative Study of Riemann–Liouville and Caputo Derivative Definitions in Time-Domain Analysis of Fractional-Order Capacitor

IEEE Transactions on Circuits and Systems II: Express Briefs, 2020
The fractional-order capacitor applied in power electronic converters, filters or other circuits has become a hot spot due to benefits, such as high-performance and flexibility. Two typical kinds of fractional-order derivative definitions, Riemann-Liouville (RL) or Caputo derivatives are popularly used to analyze the characteristics of fractional-order
Yanwei Jiang, Bo Zhang 0011
openaire   +1 more source

Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models

2018
J. Hristov
openaire   +2 more sources

Comments on the description and initialization of fractional partial differential equations using Riemann–Liouville’s and Caputo’s definitions

Journal of Computational and Applied Mathematics, 2018
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Jocelyn Sabatier, Christophe Farges
openaire   +1 more source

Analysis of Fractional Electrical Circuit Using Caputo and Conformable Derivative Definitions

2018
The paper presents an analysis of the fractional electrical circuit in the transient state described by the fractional-order state-space equations. General solutions to the fractional state-space equations containing two types of definitions of fractional derivative: Caputo fractional order derivative and the Conformable Fractional Derivative (CFD ...
Ewa Piotrowska, Krzysztof Rogowski
openaire   +1 more source

Analysis of fractional capacitor and coil by the use of the Conformable Fractional Derivative and Caputo definitions

2018 International Interdisciplinary PhD Workshop (IIPhDW), 2018
This paper deals with the analysis of the electrical circuit with the fractional capacitor as well as the coils described by the fractional order state space equations in the transient state. There are two types of definitions of fractional derivative used in the fractional state space equations which are general solutions.
openaire   +1 more source

The Mittag-Leffler-Caputo-Fabrizio Fractional Derivative and Its Numerical Approach

Symmetry
This study introduces a novel fractional-order derivative, termed the Mittag-Leffler–Caputo–Fabrizio (MLCF) fractional derivative, which is characterized by a singular kernel.
Manal Alqhtani, L. Sadek, Khaled M. Saad
semanticscholar   +1 more source

The influence of time-fractional Maxwell’s equations based on Caputo fractional derivative on an electromagnetic solid cylinder under four different thermoelastic theorems

Mathematics and mechanics of solids
This paper introduces a mathematical model of a thermoelastic and electromagnetic solid cylinder in the context of four different thermoelastic theorems: Green–Naghdi type I, type III, Lord–Shulman, and Moore–Gibson–Thompson.
Eman A. N. Al-Lehaibi, Hamd M. Youssef
semanticscholar   +1 more source

Construction of an edge detection mask based on Caputo fractional derivative

International Journal of Computational and Experimental Science and Engineering
Fractional calculus has recently attracted significant attention, making substantial contributions to the field of digital image processing. This growing interest stems from its ability to offer a more nuanced mathematical framework for analyzing and ...
Varsha S N, Sowmya M
semanticscholar   +1 more source