Some results on the fractional order Sturm-Liouville problems

Some results on the fractional order Sturm-Liouville problems

Abstract In this work, we introduce some new results on the Lyapunov inequality, uniqueness and multiplicity results of nontrivial solutions of the nonlinear fractional Sturm-Liouville problems { D 0 + q ( p ( t ) u ′ ( t ) ) + Λ ( t ) f ( u ( t ) ) = 0 , 1 < q ≤ 2 , t ∈ ( 0 , 1 ) , α u ( 0 ) − β...

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Bibliographic Details
Main Authors: Yuanfang Ru, Fanglei Wang, Tianqing An, Yukun An
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
fractional differential equations
Sturm-Liouville problems
Lyapunov inequality
fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13662-017-1377-x

Internet

http://link.springer.com/article/10.1186/s13662-017-1377-x

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