Results 51 to 60 of about 864,500 (304)

Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]

, 2009
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core   +1 more source

Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial

Mathematics, 2019
Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
Roberto Garrappa, Eva Kaslik, Marina Popolizio   +2 more
doaj   +1 more source

Hilfer–Katugampola fractional derivatives

Computational and Applied Mathematics, 2017
We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer-Hadamard, Riemann-Liouville, Hadamard, Caputo, Caputo-Hadamard, Liouville, Weyl, generalized and Caputo-type.
Oliveira, D. S., de Oliveira, E. Capelas
openaire   +2 more sources

Fractional Derivatives Applied to Epidemiology

Trends in Computational and Applied Mathematics, 2021
We seek investigate the use of fractional derivatives, both analytically and through simulations. We derivate some models and perform investigations about them, discussing difficulties and differences between classic and fractional models. Also, we analyzed the COVID-19 pandemic using a fractional epidemiological SIR model and performed a numerical ...
MONTEIRO, N. ZERAICK, MAZORCHE, S. RODRIGUES   +1 more
openaire   +5 more sources

Impact of Radiation Therapy on Physical and Psychosocial Health of Adolescents and Young Adults: A Joint Report From the Children's Oncology Group AYA and Radiation Oncology Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani, Rachel K. Peterson, Avani D. Rao, Laurie J. McKenzie, Ahmed Magdy Elmotayam, Leslie Chang, Michael Roth, Susan L. McGovern   +7 more
wiley   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

, 2013
In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
core   +1 more source

Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula

Journal of Inequalities and Applications
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden, Mehmet Zeki Sarıkaya, Burçin Gokkurt Ozdemir, Neslihan Uyanık   +3 more
doaj   +1 more source

Calpain small subunit homodimerization is robust and calcium‐independent

FEBS Letters, EarlyView.
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy, Trina Dykstra‐MacPherson, Mathias A. Bell, Peter L. Davies, Ruby May A. Sullan   +4 more
wiley   +1 more source

On Fractional and Fractal Derivatives in Relation to the Physics of Fractals

Recoletos Multidisciplinary Research Journal, 2013
Fractional and fractal derivatives are both generalizations of the usual derivatives that consider derivatives of non-integer orders. Interest in these generalizations has been triggered by a resurgence of clamor to develop a mathematical tool to ...
Roberto N. Padua, Miraluna L. Herrera, Adriano V. Patac Jr., Michael V. Sabugaa, Gibson T. Maglasang, Mark S. Borres, Jay M. Ontolan   +6 more
doaj   +1 more source