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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2765 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:56:47Z |
| format | Article |
| id | doaj.art-570b906783144f3c8b04af1dccae076e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:56:47Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-570b906783144f3c8b04af1dccae076e2023-11-22T21:18:32ZengMDPI AGMathematics2227-73902021-10-01921276510.3390/math9212765Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical DegeneracyRavi P. Agarwal0Soha Mohammad Alhumayan1Mohamed Jleli2Bessem Samet3Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USADepartment 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 ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn 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.https://www.mdpi.com/2227-7390/9/21/2765fractional-in-time evolution inequalitiessubcritical degeneracyglobal weak solutionsnonexistence |
| spellingShingle | Ravi P. Agarwal Soha Mohammad Alhumayan Mohamed Jleli Bessem Samet Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy Mathematics fractional-in-time evolution inequalities subcritical degeneracy global weak solutions nonexistence |
| title | 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_short | 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 |
| topic | fractional-in-time evolution inequalities subcritical degeneracy global weak solutions nonexistence |
| url | https://www.mdpi.com/2227-7390/9/21/2765 |
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