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Fractional derivatives: The perspective of system theory

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This paper addresses the present day problem of multiple proposals for operators under the umbrella of "fractional derivatives". Several papers demonstrated that various of those "novel" definitions are incorrect. Here the classical system theory is applied to develop a unified framework to clarify this important topic in Fractional Calculus.

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This work was funded by Portuguese National Funds through the FCT-Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013.

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Fractional anti-derivatives Fractional calculus Fractional derivatives Fractional integrals Fractional operators General Mathematics

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