Results 181 to 190 of about 924,447 (216)
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 ...
Edmundo Capelas de Oliveira
exaly +5 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Approximations of Fractional Integrals and Caputo Fractional Derivatives
Applied Mathematics and Computation, 2006In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
Zaid Odibat
exaly +2 more sources
Communications in Nonlinear Science and Numerical Simulation, 2011 We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given.
Delfim F. M. Torres, Ricardo Almeida
exaly +2 more sources
Caputo and Related Fractional Derivatives in Singular Systems [PDF]
Applied Mathematics and Computation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dassios, Ioannis K., Baleanu, Dumitru
exaly +5 more sources
Automatic initialization of the Caputo fractional derivative
IEEE Conference on Decision and Control and European Control Conference, 2011Initialization 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 +2 more
openaire +1 more source
Dynamics of the Caputo Fractional Derivative
Fractional Calculus and Applied AnalysisAbstract 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
exaly +4 more sources
A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018Summary: 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
A new fractional integral associated with the Caputo–Fabrizio fractional derivative
Rendiconti del Circolo Matematico di Palermo Series 2, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Moumen Bekkouche +3 more
openaire +3 more sources
Caputo fractional derivative of $$\alpha $$-fractal spline
Numerical AlgorithmszbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. M. C. Priyanka +4 more
openaire +2 more sources
Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
Physica A: Statistical Mechanics and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morales-Delgado, V. F. +3 more
openaire +2 more sources