The extended fractional Caputo–Fabrizio derivative of order 0≤σ<1 $0\leq \sigma <1$ on CR[0,1] $C_{\mathbb{R}}[0,1]$ and the existence of solutions for two higher-order series-type differential equations

Abstract We extend the fractional Caputo–Fabrizio derivative of order 0≤σ<1 $0\leq \sigma <1$ on CR[0,1] $C_{\mathbb{R}}[0,1]$ and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the...

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Bibliographic Details
Main Authors: Dumitru Baleanu, Asef Mousalou, Shahram Rezapour
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1696-6