Title
The method of lower and upper solutions for mixed fractional four-point boundary value problem with p-Laplacian operator.
Abstract
Based on the monotone iterative technique, a new method of lower and upper solutions which is used to study the multi-point boundary value problem of nonlinear fractional differential equations with mixed fractional derivatives and p-Laplacian operator is proposed. Some new results on the existence of positive solutions for the four-point boundary value problem are established. Finally, an example is presented to illustrate the wide range of potential applications of our main results.
Year
DOI
Venue
2017
10.1016/j.aml.2016.10.001
Applied Mathematics Letters
Keywords
Field
DocType
Fractional differential equation,Mixed fractional derivatives,Four-point boundary value problem,Positive solution, p-Laplacian operator,Lower and upper solutions
Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Free boundary problem,Fractional calculus,Mathematics,p-Laplacian,Mixed boundary condition,Laplace operator,Elliptic boundary value problem
Journal
Volume
ISSN
Citations 
65
0893-9659
2
PageRank 
References 
Authors
0.47
7
3
Name
Order
Citations
PageRank
Xiping Liu1174.58
Mei Jia2184.31
Weigao Ge315846.20