Results 321 to 330 of about 1,369,996 (356)

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.
Yanwei Jiang, Bo Zhang
semanticscholar   +1 more source

New discretization of Caputo–Fabrizio derivative

Computational and Applied Mathematics, 2017
We derive a numerical approximation, namely L1–2 formula, to the Caputo–Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1–2 formulas using Lagrange interpolation, respectively. We compute Caputo–Fabrizio derivatives of some known functions both theoretically and numerically.
Tuğba Akman, Burak Yıldız, Dumitru Baleanu   +2 more
openaire   +2 more sources

Automatic initialization of the Caputo fractional derivative

IEEE Conference on Decision and Control and European Control Conference, 2011
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Nezha Maamri, Alain Oustaloup, J-C. Trigeassou   +2 more
openaire   +2 more sources

The Caputo Derivative And The Infinite State Approach

IFAC Proceedings Volumes, 2013
Abstract This paper presents the interpretation of the Caputo derivative with the help of the infinite state approach, also known as the fractional integrator approach. After presentation of the modified Laplace transform equations, definition of state variables is discussed, as well as its application to the characterization of fractional system ...
Oustaloup Alain, Trigeassou Jean-Claude, Maamri Nezha   +2 more
openaire   +2 more sources

Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative

Fractals, 2023
Bo Li, Tongxin Zhang, Chaoyang Zhang
semanticscholar   +1 more source

On a New Extension of Caputo Fractional Derivative Operator

2017
In this paper, by using a generalization of beta function we introduced a new extension of Caputo fractional derivative operator and obtained some of its properties. With the help of this extended fractional derivative operator, we also defined new extensions of some hypergeometric functions and determined their integral representations, linear and ...
Kıymaz İ.O., Agarwal P., Jain S., Çetinkaya A.   +3 more
openaire   +2 more sources

Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing kernel scheme

Zhongguó wùli xuékan, 2022
Banan Maayah, O. A. Arqub, S. Alnabulsi, Hamed Alsulami   +3 more
semanticscholar   +1 more source

Lyapunov stability theorems for $$\psi $$ ψ -Caputo derivative systems

Fractional Calculus and Applied Analysis, 2022
B. K. Lenka, S. Bora
semanticscholar   +1 more source

The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time ψ-Caputo Derivative

Journal of nonlinear science, 2022
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

On Constrained Systems Within Caputo Derivatives

Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007
The constraints systems play a very important role in physics and engineering. The fractional variational principles were successfully applied to control problems as well as to construct the phase space of a fractional dynamical system. In this paper the fractional dynamics of discrete constrained systems is presented and the notion of the reduced ...
openaire   +2 more sources