Results 181 to 190 of about 7,924 (216)

Research on Bamboo Scrimber's Compressive Creep Behaviour Based on Different Kelvin-Voigt Models. [PDF]

Materials (Basel)
Miao Z, Sun S, Fu J, Gong X, Wang W, Xu X.   +5 more
europepmc   +1 more source

Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
europepmc   +1 more source

On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
E Capelas De Oliveira
exaly   +5 more sources

Fractional variational problems with the Riesz–Caputo derivative

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Almeida
exaly   +5 more sources

Dynamics of the Caputo fractional derivative

Fractional Calculus and Applied Analysis
Abstract In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different iterates of a Caputo derivative multiple is disjoint hypercyclic.
Marina Murillo-Arcila, Alfredo Peris
exaly   +6 more sources

Unexpected behavior of Caputo fractional derivative [PDF]

Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robinson Tavoni, Rubens De Figueiredo Camargo   +1 more
exaly   +6 more sources

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

Journal of Optimization Theory and Applications, 2016
The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro.
Ricardo Almeida, Almeida Ricardo
exaly   +7 more sources

Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]

Mathematics, 2015
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative.
Juan J Nieto, Nieto Juan J
exaly   +2 more sources

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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.
Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup   +2 more
openaire   +1 more source

A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
Summary: A fast algorithm with almost optimal memory for the computation of Caputo's fractional derivative is developed. It is based on a nonuniform splitting of the time interval \([0, t_n]\) and a polynomial approximation of the kernel function \((1 - \tau)^{-\alpha}\).
Wang, Kun, Huang, Jizu
openaire   +1 more source