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

页码：5830 / 5843

页数：14

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