NONEXISTENCE RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING ERDeLYI-KOBER FRACTIONAL DERIVATIVES

被引：5

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：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 10期

关键词：

Nonlinear Fractional Differential Inequalities; Erdelyi-Kober Fractional Derivative; Global Weak Solution; Nonexistence; GLOBAL-SOLUTIONS; EQUATIONS; CALCULUS;

D O I：

10.1142/S0218348X22401971

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of Erdelyi-Kober fractional differential inequalities with a polynomial nonlinearity and a singular potential function is investigated in this paper. By mean of the test function method, we establish sufficient conditions for the nonexistence of global weak solutions. Some examples are provided to illustrate our obtained results. To the best of our knowledge, the issue of nonexistence of global solutions for fractional differential equations or inequalities, involving Erdelyi-Kober fractional derivatives, was never addressed in the literature.

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页数：8

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