Boundary Value Problems For Several Kinds Of Fractional Differential Equations

This thesis primarily uses the fixed point theory to study the existence of solutions for boundary value problems of a class of fractional differential equations. The full text is divided into four chaptersIn chapter1,we introduce the historical background and research status of fractional calculus and the main works of this paper, then give the related concepts and important lemma.In chapter2,we research the existence and multiplicity of positive solu-tions for boundary value problem of a class of nonlinear fractional differential equation with p-Laplacian operator.In chapter3,we consider the existence of solutions for m-point fractional boundary value problems on the infinite interval.In chapter4,we discuss the existence and uniqueness of singular fractional differential equations with integral boundary value.