Results 41 to 50 of about 383,064 (247)
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 +1 more source
Caputo and related fractional derivatives in singular systems [PDF]
Applied Mathematics and Computation, 2018 Abstract By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo–Fabrizio (CF) and the Atangana–Baleanu (AB) fractional derivative, firstly we focus on singular linear systems of fractional differential equations with constant coefficients that can be non-square matrices, or square ...
Dassios, Ioannis K., Baleanu, Dumitru
openaire +4 more sources
Electrical circuits RC and RL involving fractional operators with bi-order
Advances in Mechanical Engineering, 2017 This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α , β ∈ ( 0 ; 1 ] .
JF Gómez-Aguilar +4 more
doaj +1 more source
On memo-viability of fractional equations with the Caputo derivative [PDF]
Advances in Difference Equations, 2015 In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give a necessary condition for fractional viability of a locally closed set with respect to a nonlinear function. A specific sufficient condition is also provided.
Małgorzata Wyrwas +2 more
openaire +2 more sources
The sine and cosine diffusive representations for the Caputo fractional derivative [PDF]
arXiv, 2023 As we are aware, various types of methods have been proposed to approximate the Caputo fractional derivative numerically. A common challenge of the methods is the non-local property of the Caputo fractional derivative which leads to the slow and memory consuming methods. Diffusive representation of fractional derivative is an efficient tool to overcome
arxiv
Time fractional IHCP with Caputo fractional derivatives
Computers & Mathematics with Applications, 2008 AbstractThe numerical solution of the time fractional inverse heat conduction problem (TFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. A finite difference space marching scheme with adaptive regularization, using mollification techniques, is ...
openaire +2 more sources
Numerical approximations for a fully fractional Allen-Cahn equation
, 2020 A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
core +1 more source
Chaos on the Vallis Model for El Niño with Fractional Operators
Entropy, 2016 The Vallis model for El Niño is an important model describing a very interesting physical problem. The aim of this paper is to investigate and compare the models using both integer and non-integer order derivatives.
Badr Saad T. Alkahtani, Abdon Atangana
doaj +1 more source
Prabhakar-like fractional viscoelasticity
, 2017 The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core +1 more source
Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales [PDF]
Nonlinear Anal. Hybrid Syst. 32 (2019), 168--176, 2018 Caputo-Fabrizio fractional delta derivatives on an arbitrary time scale are presented. When the time scale is chosen to be the set of real numbers, then the Caputo-Fabrizio fractional derivative is recovered. For isolated or partly continuous and partly discrete, i.e., hybrid time scales, one gets new fractional operators.
arxiv +1 more source