Results 101 to 110 of about 183,387 (282)

Fractional Transforms in Optical Information Processing

open access: yesEURASIP Journal on Advances in Signal Processing, 2005
We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant ...
Maria Luisa Calvo   +2 more
doaj   +1 more source

Extensions of different type parameterized inequalities for generalized (m,h) $(m,h)$-preinvex mappings via k-fractional integrals

open access: yesJournal of Inequalities and Applications, 2018
The authors discover a general k-fractional integral identity with multi-parameters for twice differentiable functions. By using this integral equation, the authors derive some new bounds on Hermite–Hadamard’s and Simpson’s inequalities for generalized ...
Yao Zhang   +4 more
doaj   +1 more source

How Complex Is a Fractal? Head/tail Breaks and Fractional Hierarchy

open access: yes, 2017
A fractal bears a complex structure that is reflected in a scaling hierarchy, indicating that there are far more small things than large ones. This scaling hierarchy can be effectively derived using head/tail breaks - a clustering and visualization tool ...
Jiang, Bin, Ma, Ding
core   +1 more source

Hands‐on protocol for preparing water‐soluble fractions from agri‐food samples for NMR‐based metabolomics analysis

open access: yesFEBS Open Bio, EarlyView.
This research protocol outlines a workflow for nuclear magnetic resonance (NMR)‐based metabolomics in the agri‐food sector. Using two case studies—strawberry leaves (solid matrix) and wine (liquid matrix)—it details the procedures for sample preparation, data acquisition, and processing.
Andrea Fernández‐Veloso   +4 more
wiley   +1 more source

On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

open access: yesAdvances in Difference Equations, 2020
In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar   +2 more
doaj   +1 more source

Fractional Bhatnagar-Gross-Krook kinetic equation

open access: yes, 2017
The linear Boltzmann equation approach is generalized to describe fractional superdiffusive transport of the Levy walk type in external force fields.
Goychuk, Igor
core   +1 more source

dUTPase is essential in zebrafish development and possesses several single‐nucleotide variants with pronounced structural and functional consequences

open access: yesFEBS Open Bio, EarlyView.
dUTPases are involved in balancing the appropriate nucleotide pools. We showed that dUTPase is essential for normal development in zebrafish. The different zebrafish genomes contain several single‐nucleotide variations (SNPs) of the dut gene. One of the dUTPase variants displayed drastically lower protein stability and catalytic efficiency as compared ...
Viktória Perey‐Simon   +6 more
wiley   +1 more source

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

open access: yesJournal 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   +3 more
doaj   +1 more source

Generalized Riemann-Liouville $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

open access: yesIEEE Access, 2018
Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun   +4 more
doaj   +1 more source

Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions [PDF]

open access: yes, 2012
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space ...
Al-Saqabi, Bader, Boyadjiev, Lyubomir
core  

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