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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-03-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-018-1543-9 |