The extended fractional Caputo-Fabrizio derivative of order 0 ≤ σ < 1 on CR[0,1] and the existence of solutions for two higher-order series-type differential equations

被引：0

作者：

Baleanu, Dumitru ^{[1
,2
]}

Mousalou, Asef ^{[3
]}

Rezapour, Shahram ^{[3
,4
]}

机构：

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

[2] Inst Space Sci, Bucharest, Romania

[3] Azarbaijan Shah Madani Univ, Dept Math, Tabriz, Iran

[4] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

The extended Caputo-Fabrizio derivative of order 0 <= sigma < 1; Higher-order fractional differential equation; Series-type equation; DIFFUSION;

D O I：

10.1186/s13662-018-1696-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.

引用

页数：11

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