Results 21 to 30 of about 456,275 (318)
Fractional free space, fractional lenses, and fractional imaging systems [PDF]
Journal of the Optical Society of America A, 2003 Continuum extensions of common dual pairs of operators are presented and consolidated, based on the fractional Fourier transform. In particular, the fractional chirp multiplication, fractional chirp convolution, and fractional scaling operators are defined and expressed in terms of their common nonfractional special cases, revealing precisely how they ...
Sümbül, U., Ozaktas, H., M.
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On The Solution of Certain Fractional Integral Equations [PDF]
Kirkuk Journal of Science, 2006 In this paper we introduce the linear operator of fractional integral equation of the second kind (FIESK) in the framework of the Riemann-Liouville fractional calculus.
Suha N. Al-Rawi
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A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]
Signal Processing, 2015 We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Nadia Benkhettou +2 more
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Application of the Lagrange-Sylvester formula to computation of the solution to state equations of fractional linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 The Lagrange-Sylvester formula is applied to the computation of the solutions of state equations of fractional continuous-time and discrete-time linear systems.
Tadeusz Kaczorek
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FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE [PDF]
International Journal of Mathematics, 2007 Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of selfadjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator.
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Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +5 more
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Quantum Information Processing, 2019 The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with $l_1$-norm coherence and provides the criteria of coherence distillability ...
Sumana Karmakar +4 more
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Some q-Fractional Estimates of Trapezoid like Inequalities Involving Raina’s Function
Fractal and Fractional, 2022 In this paper, we derive two new identities involving q-Riemann-Liouville fractional integrals. Using these identities, as auxiliary results, we derive some new q-fractional estimates of trapezoidal-like inequalities, essentially using the class of ...
Kamsing Nonlaopon +4 more
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A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The new theorems are applied to different orders fractional linear electrical circuits. The applications of new theorems are illustrated by numerical examples.
Tadeusz Kaczorek
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Fractal and FractionalThis paper focuses on the application of fractional calculus techniques in the identification and control of multivariable (multiple input—multiple output) systems (MIMO).
Alexandre Marques de Almeida +4 more
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