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Conductometric sensor for potassium ion profiling using lipophilic salt-incorporated non-toxic ion-selective membrane. [PDF]
Natarajan T +4 more
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A quasi-oppositional FBI algorithm driven fuzzy cascaded fractional-order controller for enhancing transient stability in hybrid power systems. [PDF]
Sahu J +7 more
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Fractional Integrals of Fractional Fourier Transform for Integrable Boehmians
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Abhishek, Banerji, P. K.
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Interpolational Integral Continued Fractions
Ukrainian Mathematical Journal, 2003For nonlinear functionals determined in the space of piecewise continuous functions an interpolational integral continued fraction by using continual piecewise continuous knots is constructed. Conditions for the existence and uniqueness of interpolants of this kinds are established.
Makarov, V. L. +2 more
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What is Fractional Integration? [PDF]
A simple construction that will be referred to as an error-duration model is shown to generate fractional integration and long memory. An error-duration representation also exists for many familiar ARMA models, making error duration an alternative to autoregression for explaining dynamic persistence in economic variables.
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Fractional integration: A comparative analysis of fractional integrators
Eighth International Multi-Conference on Systems, Signals & Devices, 2011The fractional integrator is certainly the key operator of fractional calculus, because of its fundamental applications in Fractional Differential Equation simulation and for the definition of fractional initial conditions. Fractional integration is defined by the classical Riemman-Liouville integral, derived from repeated integration. Three approaches
J.-C Trigeassou, A Oustaloup
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Fractional Integrals of Distributions
SIAM Journal on Mathematical Analysis, 1970Certain operators of fractional integration arising in connection with singular differential operators, Hankel transforms, and dual integral equations involve integration of fractional order with respect to $r^2$ and multiplication of functions by fractional powers of the independent variable. Such operations are not meaningful for distributions.
Erdélyi, Arthur, McBride, A. C.
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Fractional Integration and Dual Integral Equations
Canadian Journal of Mathematics, 1962In the analysis of mixed boundary value problems by the use of Hankel transforms we often encounter pairs of dual integral equations which can be written in the symmetrical form(1.1)Equations of this type seem to have been formulated first by Weber in his paper (1) in which he derives (by inspection) the solution for the case in which α — β = ½, v = 0,
Erdélyi, Arthur, Sneddon, I. N.
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