scholarly journals Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Yongqiang Fu ◽  
Xiaoju Zhang
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Weak Solutions ◽  
Diffusion Equations ◽  
Kirchhoff Type ◽  
Time Space

scholarly journals Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms

2021 ◽  
Vol 7 (3) ◽  
pp. 4517-4539
Author(s):  
Abdelbaki Choucha ◽  
◽  
Salah Boulaaras ◽  
Asma Alharbi ◽  
◽  
...  
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Decay Rate ◽  
Energy Method ◽  
Distributed Delay ◽  
Type Equation ◽  
General Decay ◽  
General Decay Rate ◽  
Kirchhoff Type ◽  
Nonlinear Viscoelastic

<abstract><p>A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.</p></abstract>

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