In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2013 ( 2013), p. 1-12
Abstract:
We consider the properties of Green’s function for the nonlinear fractional differential equation boundary value problem: D 0 + α u ( t ) + f ( t , u ( t ) ) + e ( t ) = 0 , 0 〈 t 〈 1 , u ( 0 ) = u ' ( 0 ) = ⋯ = u ( n - 2 ) ( 0 ) = 0 , u ( 1 ) = β u ( η ) , where n - 1 〈 α ≤ n , n ≥ 3,0 〈 β ≤ 1,0 ≤ η ≤ 1 , D 0 + α is the standard Riemann-Liouville derivative. Here our nonlinearity f may be singular at u = 0 . As applications of Green’s function, we give some multiple positive solutions for singular boundary value problems by means of Schauder fixed-point theorem.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2013
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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