Results 231 to 240 of about 1,624,926 (272)

CHARACTERISTIC ANALYSIS OF FRACTIONAL-ORDER RLC CIRCUIT BASED ON THE CAPUTO–FABRIZIO DEFINITION

Fractals, 2022
The Caputo–Fabrizio (C–F) definition, which solves the singularity problem in the Caputo definition, has been preliminarily applied in the field of circuit system modeling. However, the complex characteristics of the C–F definition-based circuit systems are still understudied.
XIAOZHONG LIAO, DONGHUI YU, DA LIN, MANJIE RAN, JINHUI XIA   +4 more
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Caputo definition for finding fractional moments of power law distribution functions

2022
In this paper, we propose a modern technique to derive fractional moment by using Caputo definition of fractional derivative.  Such technique represents a modification of fractional moments on a certain type of function which is known by the power law distribution functions.
R. S. Abdul-Jabbar
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Equivalent definitions of Caputo derivatives and applications to subdiffusion equations

Dynamics of Partial Differential Equations, 2020
An equivalent definition of the fractional Caputo derivative $mathbf{D}_{t}^{ u}g$, for $ uin(0,1)$, is found, within suitable assumptions on $g$. Some applications to the fractional calculus and to the theory of fractional partial differential equations are then discussed.
Mykola Krasnoschok, Vittorino Pata, Sergii V. Siryk, Nataliya Vasylyeva   +3 more
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Fractional thermoelastic diffusion problem for an infinitely long hollow cylinder using the Caputo–Fabrizio definition

Journal of Thermal Stresses, 2021
In the context of the fractional-order theory of thermoelastic diffusion, the problem of a thermoelastic infinitely long hollow cylinder is considered.
M. A. Elhagary
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Numerical Approximation of Caputo Definition and Simulation of Fractional PID Controller

2020
Caputo definition of Fractional Diffintegration is numerically approximated for the real-time implementation in the digital/Computer/Embedded system. Fractional numerical methods and properties are discussed in this paper and the new method of software implementation is suggested for the fractional Proportional Integral-Derivative (PID) Controller ...
Sachin Gade, Mahesh Kumbhar, Sanjay Pardeshi   +2 more
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The vibration of a gold nanobeam under the thermoelasticity fractional-order strain theory based on Caputo–Fabrizio’s definition

The Journal of Strain Analysis for Engineering Design, 2023
For the first time, numerical solutions were computed using fractional-order strain considerations in the current study. For an isotropic and homogeneous nanobeam, the thermoelasticity with one relaxation time and fractional-order strain theory based on Caputo–Fabrizio’s definition of fractional derivative was examined.
Eman A. N. Al-Lehaibi
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Fractional thermoelastic diffusion problem for an infinite medium with a spherical cavity using Modified Caputo-Fabrizio’s definition

Waves in Random and Complex Media, 2021
This work aimed to study the problem of a thermoelastic infinite medium with a spherical cavity in the context of fractional order thermoelastic diffusion theory using modified Caputo-Fabrizio’s definition. The surface of the spherical cavity is taken to
M. A. Elhagary
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Study of wave propagation in a half-space in the fractional-order theory of thermoelasticity using the new Caputo definition

Mathematics and Mechanics of Solids, 2018
Using fractional derivatives in the sense of new Caputo, we study a problem in the fractional-order theory of thermoelasticity. The problem concerns an elastic half-space. Asymptotic expansions are used. The approximate solution obtained is valid for small times, but the conducted study of wave propagation is exact for all times.
Hany H Sherief, W E Raslan
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Analysis of fractional electrical circuit with sinusoidal input signal using Caputo and conformable derivative definitions

, 2019
Poznan University of Technology Academic Journals: Electrical Engineering, 97, 155 ...
Piotrowska, Ewa
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Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives

Waves in Random and Complex Media, 2021
In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition.
Hamdy M. Youssef, Alaa A. El-Bary
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