NONEXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING WEIGHTED

被引：9

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 50 条

[31] Nonexistence results for some nonlinear nonlocal elliptic inequalities with variable exponents
Jleli, Mohamed
Kirane, Mokhtar
Samet, Bessem
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5529 - 5538
[32] Nonexistence results for some nonlinear elliptic and parabolic inequalities with functional parameters
Galakhov, Evgeny
Salieva, Olga
Uvarova, Liudmila
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (85) : 1 - 11
[33] Nonexistence results for higher-order evolution partial differential inequalities
Laptev, GG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 415 - 423
[34] Existence, nonexistence and multiplicity of positive solutions for nonlinear fractional differential equations
Ding X.
Feng Y.
Bu R.
Journal of Applied Mathematics and Computing, 2012, 40 (1-2) : 371 - 381
[35] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
Hu, Lei
Zhang, Shuqin
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 955 - 966
[36] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
Lei Hu
Shuqin Zhang
Mediterranean Journal of Mathematics, 2016, 13 : 955 - 966
[37] Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
Ying He
Advances in Difference Equations, 2017
[38] Nonexistence for nonlinear hyperbolic inequalities in an annulus
Jleli, Mohamed
Samet, Bessem
ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (04)
[39] Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
He, Ying
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[40] Nonexistence for nonlinear hyperbolic inequalities in an annulus
Mohamed Jleli
Bessem Samet
Analysis and Mathematical Physics, 2022, 12

← 1 2 3 4 5 →