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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2021
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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) |
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fractional-in-time evolution inequalities subcritical degeneracy global weak solutions nonexistence Mathematics QA1-939 |
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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 |
_version_ |
1718431886326366208 |