Research Article

Global nonexistence of solutions for Caputo fractional differential inequality with singular potential term

Published in: Quaestiones Mathematicae
Volume 45 , issue 5 , 2022 , pages: 723–732

DOI: 10.2989/16073606.2021.1891990

Author(s): Moustafa Khirani , Algeria , Brahim Tellab , Algeria , Kamel Haouam , Algeria , Khaled Zennir , Saudi Arabia

Keywords: 26A33 , 35B33 , 35R11 , 26A33 , 35B33 , 35R11

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Abstract

This paper is reserved to discuss the existence of a critical exponent of Fujita type for a class of homogeneous Caputo fractional diﬀerential inequality with a singular term by using the test function method, to extend the result of global nonexistence of solutions obtained by Xiao and Fang in [12].

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