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Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
Journal article   Open access  Peer reviewed

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

Mohamed Jleli, Bessem Samet and Yong Zhou
Journal of inequalities and applications, Vol.2019(1), pp.1-15
2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 case of systems.
url
https://doi.org/10.1186/s13660-019-1965-2View
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