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

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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Bibliografiske detaljer
Udgivet i:Adv Differ Equ
Main Authors: Fernandez, Arran, Baleanu, Dumitru
Format: Artigo
Sprog:Inglês
Udgivet: Springer International Publishing 2018
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC6566265/
https://ncbi.nlm.nih.gov/pubmed/31258614
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13662-018-1543-9
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