On the absence of global solutions to two-times-fractional differential inequalities involving Hadamard-Caputo and Caputo fractional derivatives

被引:1
|
作者
Alazman, Ibtehal [1 ]
Jleli, Mohamed [2 ]
Samet, Bessem [2 ]
机构
[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, Riyadh 11566, Saudi Arabia
[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 04期
关键词
two-times fractional differential inequality; global solution; nonexistence; Hadamard-Caputo fractional derivative; Caputo fractional derivative; EQUATIONS;
D O I
10.3934/math.2022323
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a two-times nonlinear fractional differential inequality involving both Hadamard-Caputo and Caputo fractional derivatives of different orders, with a singular potential term. We obtain sufficient criteria depending on the parameters of the problem, for which a global solution does not exist. Some examples are provided to support our main results.
引用
收藏
页码:5830 / 5843
页数:14
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