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

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...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2017; no. 1; p. 98
Main Authors Liu, Yang, Xie, Dapeng, Yang, Dandan, Bai, Chuanzhi
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2017
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Boundary conditions
Boundary value problems
Differential equations
fractional boundary value problem
Fractional calculus
Guo-Krasnoselskii fixed point theorem
Inequalities
Laplace equation
Laplace transforms
Lyapunov-type inequality
Mathematics
Mathematics and Statistics
p-Laplacian operator
76F70
fractional boundary value problem
26A33
Guo-Krasnoselskii fixed point theorem
Lyapunov-type inequality
Laplacian operator
34A08
p-Laplacian operator
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/s13660-017-1374-3