Multiplicity of positive solutions for a class of fractional differential equations with integral boundary value conditions
YANG Xiaojuan， HAN Xiaoling*
(College of Mathematics and Statistics, Northwest Normal University,Lanzhou 730070, Gansu, China)
Abstract:
In the definition of conformable fractional derivative, a class of nonlinear fractional differential equations with integral boundary value condition are studied by applying the method of lower and upper solution. Combined with Leray-Schauder degree theory, the existence of positive solutions and multiple solutions for the considered problem is obtained.
KeyWords:
conformable fractional derivative; fractional differential equation; integral boundary value problem; multiplicity of solutions; method of lower and upper solution; Leray-Schauder degree theory
