NONEXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING WEIGHTED

被引：10

作者：

De Gaetano, Andrea ^{[1
]}

Jleli, Mohamed ^{[2
]}

Ragusa, Maria Alessandra ^{[3
,4
]}

Samet, Bessem ^{[2
]}

机构：

[1] Natl Res Council Italy CNR, CNR IASI, Rome, Italy

[2] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[3] Comp Sci Catania Univ, Dept Math, I-95125 Catania, Italy

[4] RUDN Univ, 6 Miklukho,Maklay St, Moscow 117198, Russia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 06期

关键词：

Fractional differential inequalities; weighted fractional derivative; global solution; nonexistence; CALCULUS;

D O I：

10.3934/dcdss.2022185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonexistence of global solutions for certain classes of nonlinear fractional differential inequalities involving weighted fractional derivatives and a singular potential function. Namely, using the test function method with a judicious choice of the test function, we obtain sufficient criteria depending on the parameters of the considered problems, under which we have absence of global solutions. Next, some special cases of the potential function are discussed.

引用

页码：1300 / 1322

页数：23

共 11 条

[1] Fractional derivative viscoelasticity at large deformations [J].