Results 191 to 200 of about 41,470 (233)

A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)

Journal of Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yépez-Martínez, H.   +1 more
openaire   +3 more sources

A novel definition of the caputo fractional finite difference approach for Maxwell fluid

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tamour Zubair   +2 more
openaire   +4 more sources

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 H. Sherief, W. E. Raslan
openaire   +3 more sources

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.
Donghui Yu   +3 more
openaire   +3 more sources

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
openaire   +1 more source

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   +3 more
openaire   +1 more source

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   +4 more
openaire   +2 more sources

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   +4 more
openaire   +1 more source

Solutions of Nonlocal Schrödinger Equation via the Caputo-Fabrizio Definition for Some Quantum Systems

Reports on Mathematical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bouzenna, Fatma El-Ghenbazia   +2 more
openaire   +2 more sources

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