Results 161 to 170 of about 2,241 (195)

Fractional modeling of hepatitis B virus transmission via heterosexual and homosexual contacts and its disability burden. [PDF]

BMC Infect Dis
Guedri K, Zarin R, Makhdoum BM, Niyazi HA, Fadhl BM, Peter OJ.   +5 more
europepmc   +1 more source

Space-time variable-order fractional analysis of nonlinear longitudinal wave propagation in magneto-electro-elastic materials. [PDF]

Sci Rep
Khan MA, Ali MKM, Sathasivam S, Soliman NF, Algarni AD.   +4 more
europepmc   +1 more source

Mathematical analysis and simulation of an ABC fractional Zika virus model with natural transform and stability assessment. [PDF]

Sci Prog
Mariantony Michael J, Gnanaprakasam AJ, Alkhalaf S, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source

Analysis and optimal control of a fractional order influenza epidemic model. [PDF]

Sci Rep
Zahra F, Li Z, Al-Ahmari A.
europepmc   +1 more source

Fractional-order modeling of HIV/AIDS dynamics in the working-class population using the ABC operator. [PDF]

BMC Infect Dis
Sado AE, Jaleta SF, Deressa CT.
europepmc   +1 more source

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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   +3 more sources

New discretization of Caputo–Fabrizio derivative

Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akman, Tuğba, Yıldız, Burak, Baleanu, Dumitru   +2 more
openaire   +1 more source

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

Remarks on the initialization of Caputo derivative

Proceedings of 2012 IEEE/ASME 8th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, 2012
In this paper, we have further discussed the initialization issue of Caputo derivative. Specially, based on an initialization theory established by Lorenzo and Hartley, we give a new result about the initialization function of Caputo derivative under the assumption of terminal initialization.
Fengrong Zhang, Changpin Li
openaire   +1 more source