Nonexistence results of Caputo-type fractional problem

Advances in Difference Equations

article

Kassim, Mohammed D.¹  Ali, Saeed M.¹  Abdo, Mohammed S.²  Jarad, Fahd³ 

[1] Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University;Department of Mathematics, Hodeidah University;Department of Mathematics, Cankaya University;Medical University Hospital, China Medical University

关键词: Nonexistence;    Caputo fractional derivative;    Global solution;    Test function method;   

DOI  :  10.1186/s13662-021-03400-1

学科分类：航空航天科学

来源: SpringerOpen

【 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