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.

Detalles Bibliográficos
Autores principales: Fernandez, Arran, Baleanu, Dumitru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6566265/
https://www.ncbi.nlm.nih.gov/pubmed/31258614
http://dx.doi.org/10.1186/s13662-018-1543-9
Descripción
Sumario: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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