摘要：In this work, we discuss the existence of nontrivial solutions for the fractional boundary value problem { D 0 + α u = − f ( t , u ) , t ∈ [ 0 , 1 ] , u ( 0 ) = u ′ ( 0 ) = u ′ ( 1 ) = 0 . Here α ∈ ( 2 , 3 ] is a real number, D 0 + α is the standard Riemann-Liouville fractional derivative of order α. By virtue of some inequalities associated with Green’s function, without the assumption of the nonnegativity of f, we utilize topological degree theory to establish our main results. MSC:26A33, 34B15, 34B18, 34B27.
关键词：fractional boundary value problem ; nontrivial solution ; topological degree ; Riemann-Liouville derivative
