A generalized Lyapunov's inequality for a fractional boundary value problem

作者：Chidouh Amar^*; Torres Delfim F M

来源：Journal of Computational and Applied Mathematics, 2017, 312: 192-197.

DOI：10.1016/j.cam.2016.03.035

• Fractional differential equations
• Lyapunov's inequality
• Boundary value problem
• Positive solutions
• Guo-Krasnoselskii fixed point theorem

We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov's inequality. The new results are illustrated through examples.

• 出版日期2017-3-1