Lyapunov-type inequality and solution for a fractional differential equation

Journal of inequalities and applications

article

Dexiang Ma¹  Zifa Yang¹ 

[1] Department of Mathematics, North China Electric Power University

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

DOI  :  10.1186/s13660-020-02448-z

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY