Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities

We study the nonexistence of global solutions for new classes of nonlinear fractional differential inequalities. Namely, sufficient conditions are provided so that the considered problems admit no global solutions. The proofs of our results are based on the test function method and some integral est...

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Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8814785
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author Mohamed Jleli
Bessem Samet
author_facet Mohamed Jleli
Bessem Samet
author_sort Mohamed Jleli
collection DOAJ
description We study the nonexistence of global solutions for new classes of nonlinear fractional differential inequalities. Namely, sufficient conditions are provided so that the considered problems admit no global solutions. The proofs of our results are based on the test function method and some integral estimates.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-9015802e0f484eada006e6a07549cf362025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88147858814785Nonexistence Results for Some Classes of Nonlinear Fractional Differential InequalitiesMohamed Jleli0Bessem Samet1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe study the nonexistence of global solutions for new classes of nonlinear fractional differential inequalities. Namely, sufficient conditions are provided so that the considered problems admit no global solutions. The proofs of our results are based on the test function method and some integral estimates.http://dx.doi.org/10.1155/2020/8814785
spellingShingle Mohamed Jleli
Bessem Samet
Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
Journal of Function Spaces
title Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
title_full Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
title_fullStr Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
title_full_unstemmed Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
title_short Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities
title_sort nonexistence results for some classes of nonlinear fractional differential inequalities
url http://dx.doi.org/10.1155/2020/8814785
work_keys_str_mv AT mohamedjleli nonexistenceresultsforsomeclassesofnonlinearfractionaldifferentialinequalities
AT bessemsamet nonexistenceresultsforsomeclassesofnonlinearfractionaldifferentialinequalities