The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel.
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Baleanu, Dumitru
Abstract
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.
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Fractional calculus, Mean value theorem, Mittag–Leffler kernel, Taylor’s theorem
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Springer Science and Business Media LLC
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EPSRC (1479943)