LAUSR

Some geometric properties of Riemann's non-differentiable function

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0 Published in 2019 at "Comptes Rendus Mathematique"

DOI: 10.1016/j.crma.2019.10.007

Abstract: Riemann's non-differentiable function is a celebrated example of a continuous but almost nowhere differentiable function. There is strong numeric evidence that one of its complex versions represents a geometric trajectory in experiments related to the… read more here.

Keywords: riemann non; non differentiable; properties riemann; differentiable function ... See more keywords

Enhancing the detection of edges and non-differentiable points in an NMR spectrum using delayed-acquisition.

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1 Published in 2018 at "Journal of magnetic resonance"

DOI: 10.1016/j.jmr.2017.12.012

Abstract: Delayed-acquisition, which is a common technique for improving spectral resolution in Fourier transform based spectroscopies, typically relies upon differences in T2 relaxation rates that are often due to underlying differences in dynamics and/or complexities of… read more here.

Keywords: enhancing detection; delayed acquisition; non differentiable; detection edges ... See more keywords

Non-differentiable irrational curves for $C^1$ twist map

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1 Published in 2021 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2021.117

Abstract: Abstract We construct a $C^1$ symplectic twist map g of the annulus that has an essential invariant curve $\Gamma $ such that $\Gamma $ is not differentiable and g restricted to $\Gamma $ is minimal. read more here.

Keywords: non differentiable; differentiable irrational; curves twist; gamma ... See more keywords

Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets

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1 Published in 2017 at "Fractals"

DOI: 10.1142/s0218348x17400023

Abstract: In the present paper, a family of the special functions via the celebrated Mittag–Leffler function defined on the Cantor sets is investigated. The nonlinear local fractional ODEs (NLFODEs) are presented by following the rules of… read more here.

Keywords: solutions nonlinear; odes defined; non differentiable; differentiable exact ... See more keywords

A non-differentiable solution for the local fractional telegraph equation

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0 Published in 2017 at "Thermal Science"

DOI: 10.2298/tsci17s1225l

Abstract: Jie LI , Ce ZHANG *, Weixing LIU , Yuzhu ZHANG , Aimin YANG , and Ling ZHANG c a The Ministry of Education Key Laboratory with Modern Metallurgical Technology, North China University of Science… read more here.

Keywords: local fractional; fractional telegraph; non differentiable; solution local ... See more keywords

Non-differentiable exact solutions of the local fractional Klein-Fock-Gordon equation on cantor sets

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0 Published in 2023 at "Thermal Science"

DOI: 10.2298/tsci2302653c

Abstract: Based on the local fractional derivative, a new local fractional Klein-Fock-Gordon equation is derived in this paper for the first time. A simple method namely Yang?s special function method is used to seek for the… read more here.

Keywords: differentiable exact; local fractional; klein fock; non differentiable ... See more keywords

Non-differentiable fractional odd-soliton solutions of local fractional generalized Broer-Kaup system by extending Darboux transformation

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0 Published in 2023 at "Thermal Science"

DOI: 10.2298/tsci23s1077x

Abstract: In this paper, a local fractional generalized Broer-Kaup (gBK) system is first de?rived from the linear matrix problem equipped with local space and time fractional partial derivatives, i.e, fractional Lax pair. Based on the derived… read more here.

Keywords: local fractional; system; non differentiable; solutions local ... See more keywords

Multifractal Model of Atmospheric Turbulence Applied to Elastic Lidar Data

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1 Published in 2021 at "Atmosphere"

DOI: 10.3390/atmos12020226

Abstract: This paper shall present a multifractal interpretation of turbulent atmospheric entities, considering them a complex system whose dynamics are manifested on continuous yet non-differentiable multifractal curves. By bringing forth theoretical considerations regarding multifractal structures through… read more here.

Keywords: non differentiable; turbulence; model; lidar data ... See more keywords

Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators

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0 Published in 2019 at "Mathematics"

DOI: 10.3390/math7090804

Abstract: The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the… read more here.

Keywords: type method; step chord; non differentiable; two step ... See more keywords