Results 11 to 20 of about 1,624,926 (272)

Modeling and Analysis of Caputo–Fabrizio Definition-Based Fractional-Order Boost Converter with Inductive Loads

Fractal and Fractional
This paper proposes a modeling and analysis method for a Caputo–Fabrizio (C-F) definition-based fractional-order Boost converter with fractional-order inductive loads.
Donghui Yu, Xiaozhong Liao
exaly   +6 more sources

A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs [PDF]

SIAM Journal on Mathematical Analysis, 2018
We extend in this paper the definition of Caputo derivatives of order in $(0,1)$ to a certain class of locally integrable functions using a convolution group. Our strategy is to define a fractional calculus for a certain class of distributions using the convolution group.
Lei Li, Jian-Guo Liu
exaly   +5 more sources

Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions [PDF]

Archives of Electrical Engineering, 2018
An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations.
Ewa Piotrowska
doaj   +3 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
This article is focused on natural convection of unsteady flow of generalized Maxwell fluid over an oscillating vertical flat plate with constant temperature at the boundary.
Madeeha Tahir, M Imran, Maryam Aleem
exaly   +5 more sources

A control oriented fractional-order model of lithium-ion batteries based on Caputo definition

Journal of Energy Storage
This letter proposes a fractional-order battery model based on the Caputo definition. A closed-form time-domain solution is derived, enabling a simple recursive expression for discrete-time implementation. The model requires only the current and previous time-step states in each iteration, significantly reducing memory usage compared to the ...
Liye Wang, Lifang Wang
exaly   +6 more sources

Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

Bulletin of the Polish Academy of Sciences Technical Sciences, 2017
Abstract The Caputo-Fabrizio definition of the fractional derivative is applied to minimum energy control of fractional positive continuous- time linear systems with bounded inputs. Conditions for the reachability of standard and positive fractional linear continuous-time systems are established.
T. Kaczorek
semanticscholar   +3 more sources

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.
H Yépez-Martínez, J F Gómez-Aguilar
exaly   +3 more sources

Existence of Weak Solutions to Nonlocal PDEs With a Generalized Definition of Caputo Derivative

Mediterranean Journal of Mathematics, 2023
Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based on this fact, in this paper, we consider the existence of weak solutions to a kind of partial differential equations with Caputo ...
Xu, Jiaohui, Caraballo Garrido, Tomás
openaire   +4 more sources

The Limited Validity of the Fractional Euler Finite Difference Method and an Alternative Definition of the Caputo Fractional Derivative to Justify Modification of the Method

WSEAS TRANSACTIONS ON MATHEMATICS, 2023
A method, advanced as the fractional Euler finite difference method (FEFDM), a general method for the finite difference discretization of fractional initial value problems (IVPs) for 0<α≤1 for the Caputo derivative, is shown to be valid only for α=1.
Dominic P. Clemence-Mkhope, Zachary Denton   +1 more
openaire   +2 more sources

A novel equivalent definition of Caputo fractional derivative without singular kernel and superconvergent analysis [PDF]

Journal of Mathematical Physics, 2018
In this article, we present a new second-order finite difference discrete scheme for a fractal mobile/immobile transport model based on equivalent transformative Caputo formulation. The new transformative formulation takes the singular kernel away to make the integral calculation more efficient. Furthermore, this definition is also effective where α is
Liu, Zhengguang, Li, Xiaoli
openaire   +3 more sources