带积分边界条件的一致分数阶Langevin方程解的存在性

Existence of Solutions for Conformable Fractional Langevin Equation with Integral Boundary Conditions

运用Banach压缩映像原理、Leray-Schauder非线性抉择、Krasnoselskii’s不动点定理和Schaefer不动点定理,讨论带积分边界条件的一致分数阶Langevin方程解的存在性,并举例说明所得结果的适用性。

By utilizing Banach contraction mapping principle,Leray-Schauder’s nonlinear alternative,Krasnoselskii’s fixed point theorem and Schaefer fixed point theorem,we discussed the existence of solutions for conformable fractional Langevin equation with integral boundary conditions,and gave some examples to illustrate the applicability of the results obtained.