Lyapunov-type inequalities for certain higher order fractional differential equations


Authors

Xuhuan Wang - Department of Education Science, Pingxiang University, Pingxiang, Jiangxi 337055, China. Youhua Peng - Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, China. Wanchun Lu - Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, China.


Abstract

This paper generalizes the well-known Lyapunov-type inequality for certain higher order fractional differential equations. The investigation is based on a construction of Green's functions and finding its corresponding maximum value. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Xuhuan Wang, Youhua Peng, Wanchun Lu, Lyapunov-type inequalities for certain higher order fractional differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 5064--5071

AMA Style

Wang Xuhuan, Peng Youhua, Lu Wanchun, Lyapunov-type inequalities for certain higher order fractional differential equations. J. Nonlinear Sci. Appl. (2017); 10(9):5064--5071

Chicago/Turabian Style

Wang, Xuhuan, Peng, Youhua, Lu, Wanchun. "Lyapunov-type inequalities for certain higher order fractional differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 5064--5071


Keywords


MSC


References