Nonlinear fractional differential equations of Sobolev type

被引：19

作者：

Alsaedi, Ahmed ^{[1
]}

Alhothuali, Mohammed S. ^{[1
]}

Ahmad, Bashir ^{[1
]}

Kerbal, Sebti ^{[2
]}

Kirane, Mokhtar ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Sultan Qaboos Univ, Dept Math & Stat, Muscat, Oman

[3] Univ La Rochelle, Dept Math Image & Applicat, F-17000 La Rochelle, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 13期

关键词：

Nonlinear equations of Sobolev type; nonlocal time operators; nonlocal space operators; nonexistence; QUASI-GEOSTROPHIC EQUATIONS; MAXIMUM PRINCIPLE; CALCULUS; SYSTEMS;

D O I：

10.1002/mma.2954

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：2009 / 2016

页数：8

共 18 条

[1]

[Anonymous], 2000, Applications of Fractional Calculus in Physics

[2]

[Anonymous], ANOMALOUS TRANSPORT

[3] Fractal Burgers equations [J].

Biler, P ;

Funaki, T ;

Woyczynski, WA .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 148 (01) :9-46

[4] A maximum principle applied to quasi-geostrophic equations [J].

Córdoba, A ;

Córdoba, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 249 (03) :511-528

[5] Nonexistence of positive solutions to nonlinear nonlocal elliptic systems [J].

Dahmani, Z. ;

Karami, F. ;

Kerbal, S. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (01) :22-29

[6] Polymer translocation through a nanopore: A showcase of anomalous diffusion [J].

Dubbeldam, J. L. A. ;

Milchev, A. ;

Rostiashvili, V. G. ;

Vilgis, T. A. .

PHYSICAL REVIEW E, 2007, 76 (01)

[7]

Furati K., 2008, Fractional Calculus and Applied Analysis, V11, P281

[8]

Herrmann R., 2018, Fractional Calculus-An Introduction for Physicists

[9] The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations [J].

Ju, N .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 255 (01) :161-181

[10] Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives [J].

Kirane, M ;

Laskri, Y ;

Tatar, NE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (02) :488-501

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