Lyapunov-type inequality and solution for a fractional differential equation

[摘要] In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution for the corresponding nonlinear problem.

[学科分类] 电力

[关键词] Fractional differential equation;Green’s function;Lyapunov-type inequality;Contraction mapping theorem