Nonexistence results of Caputo-type fractional problem

Advances in Difference Equations

Saeed M. Ali¹  Mohammed D. Kassim¹  Fahd Jarad²  Mohammed S. Abdo³ 

[1] Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 34151, Dammam, Saudi Arabia;Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey;Medical University Hospital, China Medical University, Taichung, Taiwan;Department of Mathematics, Hodeidah University, AL-Hodeidah, Yemen;

关键词: Nonexistence;    Caputo fractional derivative;    Global solution;    Test function method;    26A33;    34A07;    93A30;    35R11;   

DOI  :  10.1186/s13662-021-03400-1

来源: Springer

【 摘 要 】

In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global solutions in a suitable space via the test function technique and some properties of fractional integrals. Finally, we demonstrate three examples to illustrate our results. The presented results are more general than those in the literature, which can be obtained as particular cases.

【 授权许可】

CC BY