The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel

被引：39

作者：

Fernandez, Arran ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge, England

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

英国工程与自然科学研究理事会;

关键词：

Fractional calculus; Mean value theorem; Taylor's theorem; Mittag-Leffler kernel; NONSINGULAR KERNEL; PHARMACOKINETICS; FORMULA;

D O I：

10.1186/s13662-018-1543-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：11

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