TY - JOUR
ID - 3669
TI - Positive solutions for eigenvalue problems of fractional differential equation with p-Laplacian
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Lu, Hongling
AU - Han, Zhenlai
AU - Sun, Shurong
AU - Zhang, Chao
AD - School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China
Y1 - 2015
PY - 2015
VL - 22
IS - 3
SP - 755
EP - 764
KW - Fractional boundary value problem
KW - Positive solution
KW - Guo–Krasnosel’skii fixedpoint theorem
KW - igenvalue
KW - p-Laplacian operator
DO -
N2 - In this paper, we investigate the existence of positive solutions for the eigenvalue problem of nonlinear fractional differential equation with p-Laplacian operator D 0+(p(D 0+u(t))) = f(u(t)), 0 1, −1 p = q, 1/p + 1/q = 1, > 0 is a parameter, and f : (0,+1) ! (0,+1) is continuous. By using the properties of the Green function and the Guo–Krasnosel’skii fixed-point theorem on cones, several new existence results of at least one or two positive solutions in terms of different eigenvalue interval are obtained. Moreover, the nonexistence of positive solution in term of the parameter is also considered.
UR - http://scientiairanica.sharif.edu/article_3669.html
L1 - http://scientiairanica.sharif.edu/article_3669_597777ea624780b471460841d6ac5610.pdf
ER -