Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions

摘要

In this paper, we discuss the existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions { D α C u ( t ) + f ( t , u ( t ) ) = 0 , 0 t 1 , u ″ ( 0 ) = u ‴ ( 0 ) = 0 , u ′ ( 0 ) = u ( 1 ) = η ∫ 0 1 u ( s ) d s , $$extstyleegin{cases} {}^{C} D^{lpha}u(t)+f(t,u(t))=0,quad 0 t 1, u''(0)=u'''(0)=0, u'(0)=u(1)=etaint_{0}^{1}u(s),ds, end{cases} $$ where 3 α 4 $3lpha4$ , 0