For EDITORS

For READERS

All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
The existence of nontrivial solution for boundary value problem of nonlinear fractional differential equation
Yan Bai,Weihua Jiang,Yanping Guo,Yunhong Li,Yujing Liu
Keywords:fractional differential equation, eigenvalue, Green's function, Leray-Schauder degree.
Abstract:
      By using the theory of degree, the existence of nontrivial solution for boundary value problem of nonlinear fractional differential equation is investigated. In order to get this conclusion, we make use of Laplace transform to obtain the conditions that the eigenvalues satisfy. Then, for three different specific problems, we use Matlab software to calculate the eigenvalues. This is the fundamental skill that Leray-Schauder degree theorem can be used.