Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
Abstract A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0,a<x<b,u(a)+u(b)=0,u′(a)+u′(b)=0, $$\begin{aligned} & \bigl({}^{C}D_{a}^{\alpha,\psi}u \bigr) (x)+f \bigl(x,u(x) \bigr)=0,\quad a< x< b, \\ &u(a)+u(b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1850-4 |