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}...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-06-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-018-1731-x |