Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations with Nonlinear Fractional Damping
Joint Authors
Jleli, Mohamed Boussairi
Kirane, Mokhtar
Samet, Bessem
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider the system of nonlinear wave equations with nonlinear time fractional damping utt+−Δmu+CD0,tαtσuq=vp,t>0,x∈ℝN,vtt+−Δmv+CD0,tβtδvr=vs,t>0,x∈ℝN,u0,x,ut0,x=u0x,u1x,x∈ℝN,u0,x,ut0,x=u0x,u1x,x∈ℝN,where u,v=ut,x,vt,x, m and N are positive natural numbers, p,q,r,s>1, σ,δ≥0, 0<α,β<1, and CD0,tκ, 0<κ<1, is the Caputo fractional derivative of order κ.
Namely, sufficient criteria are derived so that the system admits no global weak solution.
To the best of our knowledge, the considered system was not previously studied in the literature.
American Psychological Association (APA)
Jleli, Mohamed Boussairi& Kirane, Mokhtar& Samet, Bessem. 2020. Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations with Nonlinear Fractional Damping. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1185560
Modern Language Association (MLA)
Jleli, Mohamed Boussairi…[et al.]. Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations with Nonlinear Fractional Damping. Journal of Function Spaces No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1185560
American Medical Association (AMA)
Jleli, Mohamed Boussairi& Kirane, Mokhtar& Samet, Bessem. Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations with Nonlinear Fractional Damping. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1185560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185560