In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and mul...In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results.展开更多
In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An e...In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results.展开更多
基金supported by the Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028)NNSF of China(11271371,11226247)+2 种基金the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001)211 Project of Anhui University(02303129,02303303-33030011,02303902-39020011,KYXL2012004,XJYJXKC04)Anhui Provincial NSF(1408085MA02,1208085MA13,1308085MA01,1308085QA15)
文摘In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results.
基金supported by the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028)Anhui Provincial Natural Science Foundation(1208085MA13,1308085MA01,1308085QA15)+2 种基金the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401120001)211 Project of Anhui University(02303129,02303303-33030011,0230390239020011,KYXL2012004,XJYJXKC04)NNSF of China(11226247,11271371)
文摘In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results.
