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Nonexistence results of Caputo-type fractional problem.

Authors :
Kassim, Mohammed D.
Ali, Saeed M.
Abdo, Mohammed S.
Jarad, Fahd
Source :
Advances in Difference Equations; 5/8/2021, Vol. 2021 Issue 1, p1-12, 12p
Publication Year :
2021

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2021
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
150233736
Full Text :
https://doi.org/10.1186/s13662-021-03400-1