The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel

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The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel

*Correspondence: [email protected] 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK Full list of author information is available at the end of the article 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 fract...

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2018

ISSN: 1687-1847

DOI: 10.1186/s13662-018-1543-9