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
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spelling doaj-4db02bedb7f34f7b838983f49deb7f8d2020-11-24T21:40:55ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-01-012019111510.1186/s13660-019-1965-2Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivativesMohamed Jleli0Bessem Samet1Yong Zhou2Department of Mathematics, College of Science, King Saud UniversityDepartment of Mathematics, College of Science, King Saud UniversityFaculty of Information Technology, Macau University of Science and TechnologyAbstract 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.http://link.springer.com/article/10.1186/s13660-019-1965-2Lyapunov-type inequalitiesCaputo-type fractional derivativeSystems
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Jleli
Bessem Samet
Yong Zhou
spellingShingle Mohamed Jleli
Bessem Samet
Yong Zhou
Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
Journal of Inequalities and Applications
Lyapunov-type inequalities
Caputo-type fractional derivative
Systems
author_facet Mohamed Jleli
Bessem Samet
Yong Zhou
author_sort Mohamed Jleli
title Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
title_short Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
title_full Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
title_fullStr Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
title_full_unstemmed Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
title_sort lyapunov-type inequalities for nonlinear fractional differential equations and systems involving caputo-type fractional derivatives
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2019-01-01
description 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 case of systems.
topic Lyapunov-type inequalities
Caputo-type fractional derivative
Systems
url http://link.springer.com/article/10.1186/s13660-019-1965-2
work_keys_str_mv AT mohamedjleli lyapunovtypeinequalitiesfornonlinearfractionaldifferentialequationsandsystemsinvolvingcaputotypefractionalderivatives
AT bessemsamet lyapunovtypeinequalitiesfornonlinearfractionaldifferentialequationsandsystemsinvolvingcaputotypefractionalderivatives
AT yongzhou lyapunovtypeinequalitiesfornonlinearfractionaldifferentialequationsandsystemsinvolvingcaputotypefractionalderivatives
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