A Time-Fractional Parabolic Inequality on a Bounded Interval

Amal Alshabanat, Eman Almoalim, Mohamed Jleli and Bessem Samet ()
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Amal Alshabanat: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Eman Almoalim: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Mohamed Jleli: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Bessem Samet: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 24, 1-10

Abstract: We study a time-fractional parabolic inequality posed on a bounded interval and involving a wight function W , where the fractional derivative is considered in the Caputo sense. We establish a general condition ensuring that the set of weak solutions is empty. Next, some particular cases of the weight function W are discussed.

Keywords: time-fractional parabolic inequality; caputo fractional derivative; weak solution; nonexistence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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