Asymptotic behavior for Timoshenko systems with fractional damping

2020 ◽  
Vol 118 (1-2) ◽  
pp. 123-142
Author(s):  
Higidio Portillo Oquendo ◽  
Cleverson Roberto da Luz
Keyword(s):  
Asymptotic Behavior ◽  
Fractional Damping ◽  
Timoshenko Systems

scholarly journals ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

2016 ◽  
Vol 21 (5) ◽  
pp. 610-629 ◽  
Author(s):  
Mohammed D. Kassim ◽  
Khaled M. Furati ◽  
Nasser-Eddine Tatar
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Fractional Differential Equations ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Power Type ◽  
Fractional Damping ◽  
Integer Order ◽  
Fractional Differential

It is known that, under certain conditions, solutions of some ordinary differential equations of first, second or even higher order are asymptotic to polynomials as time goes to infinity. We generalize and extend some of the existing results to differential equations of non-integer order. Reasonable conditions and appropriate underlying spaces are determined ensuring that solutions of fractional differential equations with nonlinear right hand sides approach power type functions as time goes to infinity. The case of fractional differential problems with fractional damping is also considered. Our results are obtained by using generalized versions of GronwallBellman inequality and appropriate desingularization techniques.

A Hybrid Model for European Unemployment Rate Forecasting and Its Asymptotic Behavior

2019 ◽  
Author(s):  
Tanujit Chakraborty ◽  
Ashis Kumar Chakraborty ◽  
Sayak Banerjee ◽  
Shramana Bhattacharya
Keyword(s):  
Asymptotic Behavior ◽  
Hybrid Model ◽  
Unemployment Rate
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