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

Ravi P. Agarwal, Soha Mohammad Alhumayan, Mohamed Jleli and Bessem Samet
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Ravi P. Agarwal: Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA
Soha Mohammad Alhumayan: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Mohamed Jleli: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2021, vol. 9, issue 21, 1-10

Abstract: 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.

Keywords: fractional-in-time evolution inequalities; subcritical degeneracy; global weak solutions; nonexistence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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