Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order

作者：Zhang, Laihui; Zheng, Zhaowen^*

来源：Advances in Difference Equations, 2017, 2017(1): 270.

DOI：10.1186/s13662-017-1329-5

• Lyapunov type inequality
• Riemann-Liouville fractional differential equation
• Green's function
• higher fractional order

In this paper, some new Lyapunov type inequalities will be presented for Riemann-Liouville fractional differential equations of the form @@@ (D(a)(alpha)x)(t) + p(t)vertical bar x(t)vertical bar(mu-1) x(t) + q(t)vertical bar x(t)vertical bar(gamma-1) (t)x(t) = f(t), @@@ where alpha is an element of(n - 1, n] (n >= 3), p, q, f are real-valued functions and 0 < gamma < 1 < mu < n.

• 出版日期2017-9-7
• 单位曲阜师范大学