Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions

Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions

Abstract In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applicat...

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Bibliographic Details
Main Authors: Yang Liu, Dapeng Xie, Dandan Yang, Chuanzhi Bai
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
fractional boundary value problem
Lyapunov-type inequality
p-Laplacian operator
Guo-Krasnoselskii fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13660-017-1374-3
Description
Summary:Abstract In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are given to demonstrate the effectiveness of the new results.
ISSN:1029-242X

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