Results 201 to 210 of about 3,215 (223)

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.
openaire   +1 more source

Fundamental solution for a line source of heat in the fractional order theory of thermoelasticity using the new Caputo definition

Journal of Thermal Stresses, 2019
The new Caputo Fabrizio fractional differential operator is used to investigate a problem in the fractional order theory of thermoelasticity.
Hany Sherief
exaly   +2 more sources

Wall slip and non-integer order derivative effects on the heat transfer flow of Maxwell fluid over an oscillating vertical plate with new definition of fractional Caputo-Fabrizio derivatives

Results in Physics, 2017
Cet article se concentre sur la convection naturelle d'un écoulement instable de fluide Maxwell généralisé sur une plaque plate verticale oscillante avec une température constante à la limite. Le fluide de Maxwell avec dérivés classiques, décrivant un écoulement unidimensionnel a été généralisé à des dérivés d'ordre non entier connus sous le nom de ...
Madeeha Tahir, Maryam Aleem, M Abdullah
exaly   +3 more sources

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.
openaire   +1 more source

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
openaire   +1 more source

Closed-loop control strategy design for Caputo–Fabrizio definition-based fractional-order Boost converters considering parametric uncertainties

Transactions of the Institute of Measurement and Control
This paper proposes a dual closed-loop adaptive PI control system based on parameter identification for Caputo–Fabrizio (C-F) definition-based fractional-order boost converters. First, a C-F definition-based fractional-order model of the Boost converter is derived.
Jinhui Xia, Donghui Yu
exaly   +3 more sources

Differences between Riemann–Liouville and Caputo calculus definitions in analyzing fractional boost converter with discontinuous-conduction-mode operation

International Journal of Circuit Theory and Applications
SummaryFractional‐order calculus is an extension of the integer‐order calculus in that its order is not limited to integers but can be noninteger as well, thus making the application of fractional‐order calculus more flexible. It has been shown that actual reactive elements such as capacitors and inductors have fractional‐order properties and that the ...
Yanfeng Chen, Fan Xie
exaly   +3 more sources

A Mathematical Modeling of Time-Fractional Maxwell’s Equations Under the Caputo Definition of a Magnetothermoelastic Half-Space Based on the Green–Lindsy Thermoelastic Theorem

Mathematics
This study has established and resolved a new mathematical model of a homogeneous, generalized, magnetothermoelastic half-space with a thermally loaded bounding surface, subjected to ramp-type heating and supported by a solid foundation where these types of mathematical models have been widely used in many sciences, such as geophysics and aerospace ...
Eman A N Al-Lehaibi
exaly   +3 more sources

Mathematical Modeling of Time-Fractional Maxwell’s Equations on a Magnetothermoelastic Half-Space Under Green–Naghdi Theorems and of Caputo Definition

Mathematics
This study presents a novel mathematical model of a generalized magnetothermoelastic half-space based on the Green–Naghdi theorem, namely type-I and type-III. The half-space surface undergoes ramp-type heating and is positioned on a sturdy base to prevent movement.
Hamdy Youssef
exaly   +3 more sources

Analysis of the positivity of fractional standard and descriptor continuous-time linear systems by the use of Caputo-Fabrizio definition

SPIE Proceedings, 2016
Using the Caputo-Fabrizio definition of fractional order derivative the positivity and asymptotic stability of the fractional standard and descriptor continuous-time linear systems are investigated. The solution to the matrix fractional differential state equations is derived.
openaire   +1 more source