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

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

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.

Bibliographic Details
Main Authors: Arran Fernandez, Dumitru Baleanu
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Fractional calculus
Mean value theorem
Taylor’s theorem
Mittag–Leffler kernel
Online Access:http://link.springer.com/article/10.1186/s13662-018-1543-9

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