Open AccessExistence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian
Author(s) -
Li Zhang,
Fanglei Wang,
Yuanfang Ru
Publication year - 2019
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2019/3486410
Subject(s) - algorithm , computer science
Combining the properties of the Green function with some point theorems, we consider the existence of nontrivial solutions for fractional equations with p -Laplacian operatorD0 +βϕ p [ D0 +α ( p tu ′ ( t ) ) ] + f ( t , u ( t ) ) = 0 , 0 < t < 1 , a u ( 0 ) - b p 0u ′ ( 0 ) = 0 , and c u ( 1 ) + d p 1u ′ ( 1 ) = 0 ,D0 +αp tu ′tt = 0 = 0 , where a , b , c , d are constants and p ( · ) : [ 0,1 ] → ( 0 , + ∞ ) is continuous.