Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

Abstract A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of nontrivial solutions to the considered problem. Next, we extend our study to the c...

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Bibliographic Details
Main Authors: Mohamed Jleli, Bessem Samet, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Lyapunov-type inequalities
Caputo-type fractional derivative
Systems
Online Access:http://link.springer.com/article/10.1186/s13660-019-1965-2

Internet

http://link.springer.com/article/10.1186/s13660-019-1965-2

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