Results 191 to 200 of about 48,942 (223)

To the Theory of Differential Inclusions with Caputo Fractional Derivatives

Differential Equations, 2020
The paper studies a Cauchy problem associated to fractional differential inclusions of the form \[ ^CD^{\alpha }x(t)\in F(t,x(t)),\quad a.e.\; t\in [t_0,T], \] \[ x(t)=w_0(t),\quad t\in [0,t_0], \] where \(\alpha \in (0,1)\), \(^CD^{\alpha }\) denotes Caputo's fractional derivative, \(F:[0,T]\times {\mathbb{R}}^n\to \mathcal{P}({\mathbb{R}}^n)\) is a ...
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Fractional conformable derivatives of Liouville–Caputo type with low-fractionality

Physica A: Statistical Mechanics and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morales-Delgado, V. F., Gómez-Aguilar, J. F., Escobar-Jiménez, R. F., Taneco-Hernández, M. A.   +3 more
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A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives

Mathematical methods in the applied sciences, 2020
The dynamical characteristics of the electrical and mechanical domains are usually detected by means of electromechanical model of piezoelectric actuator; this is because it manages extremely small displacements in the range from 10 pm (1 pm = 10−12 m ...
K. A. Abro, A. Atangana
semanticscholar   +1 more source

Caputo-Based Fractional Derivative in Fractional Fourier Transform Domain

IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2013
This paper proposes a novel closed-form analytical expression of the fractional derivative of a signal in the Fourier transform (FT) and the fractional Fourier transform (FrFT) domain by utilizing the fundamental principles of the fractional order calculus.
Kulbir Singh, Rajiv Saxena, Sanjay Kumar 0003   +2 more
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Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu

Chaos, Solitons & Fractals, 2019
This research study is conducted with the aim of getting analysis based upon four different types of frequently used models of ordinary differential equations related to the chickenpox outbreak among school children of Schenzen city of China in 2013.
S. Qureshi, A. Yusuf
semanticscholar   +1 more source

Initialization Issues of the Caputo Fractional Derivative

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
The importance of proper initialization in taking into account the history of a system whose time evolution is governed by a differential equation of fractional order, has been established by Lorenzo and Hartley, who also gave the method of properly incorporating the effect of the past (history) by means of an initialization function for the Riemann ...
B. N. Narahari Achar, Carl F. Lorenzo, Tom T. Hartley   +2 more
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The Peano–Sard theorem for Caputo fractional derivatives and applications

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arran Fernandez, Suzan Cival Buranay
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Fractional Constrained Systems and Caputo Derivatives

Journal of Computational and Nonlinear Dynamics, 2008
During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles have been used in physics to construct the phase space of a fractional dynamical system.
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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, 2023
Hamdy M Youssef, Alaa A El-Bary
exaly  

Experimental Study of Fractional-Order RC Circuit Model Using the Caputo and Caputo-Fabrizio Derivatives

IEEE Transactions on Circuits and Systems I: Regular Papers, 2021
Da Lin, Xiaozhong Liao, Ruocen Yang
exaly