On nonexistence of solutions to some time space fractional evolution equations with transformed space argument

被引：6

作者：

Alsaedi, Ahmed ^{[1
]}

Kirane, Mokhtar ^{[1
,2
]}

Fino, Ahmad Z. ^{[3
]}

Ahmad, Bashir ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Res Grp,Nonlinear Anal & Appl Math NAAM, Jeddah 21589, Saudi Arabia

[2] Khalifa Univ, Fac Arts & Sci, Dept Math, POB 127788, Abu Dhabi, U Arab Emirates

[3] Sultan Qaboos Univ, Dept Math, FracDiff Res Grp DR RG 03, POB 46, Muscat 123, Oman

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2023年 / 13卷 / 02期

关键词：

Nonlinear evolution equations; nonexistence of solutions; space transformed argument; Caputo fractional derivative; fractional Laplacian; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM; REFLECTION; SYSTEM;

D O I：

10.1142/S1664360722500096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a 2 x 2 system of equations with transformed space arguments.

引用

页数：36

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