%0 Journal Article
%T Solvability for fractional order boundary value problems at resonance
%A Hu Zhigang
%A Liu Wenbin
%J Boundary Value Problems
%D 2011
%I Springer
%X In this paper, by using the coincidence degree theory, we consider the following boundary value problem for fractional differential equation D 0 + ¦Á x ( t ) = f ( t , x ( t ) , x ¡ä ( t ) , x ¡å ( t ) ) , t ¡Ê [ 0 , 1 ] , x ( 0 ) = x ( 1 ) , x ¡ä ( 0 ) = x ¡å ( 0 ) = 0 , where D 0 + ¦Á denotes the Caputo fractional differential operator of order ¦Á, 2 < ¦Á ¡Ü 3. A new result on the existence of solutions for above fractional boundary value problem is obtained. Mathematics Subject Classification (2000): 34A08, 34B15.
%K Fractional differential equations
%K boundary value problems
%K resonance
%K coincidence degree theory
%U http://www.boundaryvalueproblems.com/content/2011/1/20