Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives

Abstract We state and prove new generalized Lyapunov-type and Hartman-type inequalities for a conformable boundary value problem of order α∈(1,2] $\alpha \in (1,2]$ with mixed non-linearities of the form (Tαax)(t)+r1(t)|x(t)|η−1x(t)+r2(t)|x(t)|δ−1x(t)=g(t),t∈(a,b), $$ \bigl(\mathbf{T}_{\alpha }^{a}...

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Bibliographic Details
Main Authors: Thabet Abdeljawad, Ravi P. Agarwal, Jehad Alzabut, Fahd Jarad, Abdullah Özbekler
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1731-x