A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel

A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel

Abstract In this article, we extend fractional operators with nonsingular Mittag-Leffler kernels, a study initiated recently by Atangana and Baleanu, from order α ∈ [ 0 , 1 ] $\alpha\in[0,1]$ to higher arbitrary order and we formulate their correspondent integral operators. We prove existence and un...

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Bibliographic Details
Main Author: Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of Inequalities and Applications
Subjects:
A B C $ABC$ fractional derivative
A B R $ABR$ fractional derivative
Lyapunov inequality
boundary value problem
higher order
Mittag-Leffler kernel
Online Access:http://link.springer.com/article/10.1186/s13660-017-1400-5

Internet

http://link.springer.com/article/10.1186/s13660-017-1400-5

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