A Time-Fractional Parabolic Inequality on a Bounded Interval-Reference-Cited by-同舟云学术

A Time-Fractional Parabolic Inequality on a Bounded Interval

Published:2023-12-06 Issue:24 Volume:11 Page:4892
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Alshabanat Amal¹,Almoalim Eman¹,Jleli Mohamed²^ORCID,Samet Bessem²

Affiliation:

1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

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.

Funder

Deanship of Scientific Research, Princess Nourah bint Abdulrahman University, through the Program of Research Project Funding After Publication

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/24/4892/pdf

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