Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy

In this paper, we study the nonexistence of global weak solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy. Using the test function method and some integral estimates, we establish sufficient conditions depending on the parameters of the problems so that glo...

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Autores principales: Ravi P. Agarwal, Soha Mohammad Alhumayan, Mohamed Jleli, Bessem Samet
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/570b906783144f3c8b04af1dccae076e
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spelling oai:doaj.org-article:570b906783144f3c8b04af1dccae076e2021-11-11T18:18:30ZNonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy10.3390/math92127652227-7390https://doaj.org/article/570b906783144f3c8b04af1dccae076e2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2765https://doaj.org/toc/2227-7390In this paper, we study the nonexistence of global weak solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy. Using the test function method and some integral estimates, we establish sufficient conditions depending on the parameters of the problems so that global weak solutions cannot exist globally.Ravi P. AgarwalSoha Mohammad AlhumayanMohamed JleliBessem SametMDPI AGarticlefractional-in-time evolution inequalitiessubcritical degeneracyglobal weak solutionsnonexistenceMathematicsQA1-939ENMathematics, Vol 9, Iss 2765, p 2765 (2021)
institution DOAJ
collection DOAJ
language EN
topic fractional-in-time evolution inequalities
subcritical degeneracy
global weak solutions
nonexistence
Mathematics
QA1-939
spellingShingle fractional-in-time evolution inequalities
subcritical degeneracy
global weak solutions
nonexistence
Mathematics
QA1-939
Ravi P. Agarwal
Soha Mohammad Alhumayan
Mohamed Jleli
Bessem Samet
Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
description In this paper, we study the nonexistence of global weak solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy. Using the test function method and some integral estimates, we establish sufficient conditions depending on the parameters of the problems so that global weak solutions cannot exist globally.
format article
author Ravi P. Agarwal
Soha Mohammad Alhumayan
Mohamed Jleli
Bessem Samet
author_facet Ravi P. Agarwal
Soha Mohammad Alhumayan
Mohamed Jleli
Bessem Samet
author_sort Ravi P. Agarwal
title Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
title_short Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
title_full Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
title_fullStr Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
title_full_unstemmed Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
title_sort nonexistence of global solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/570b906783144f3c8b04af1dccae076e
work_keys_str_mv AT ravipagarwal nonexistenceofglobalsolutionstohigherordertimefractionalevolutioninequalitieswithsubcriticaldegeneracy
AT sohamohammadalhumayan nonexistenceofglobalsolutionstohigherordertimefractionalevolutioninequalitieswithsubcriticaldegeneracy
AT mohamedjleli nonexistenceofglobalsolutionstohigherordertimefractionalevolutioninequalitieswithsubcriticaldegeneracy
AT bessemsamet nonexistenceofglobalsolutionstohigherordertimefractionalevolutioninequalitieswithsubcriticaldegeneracy
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