Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations

2016 ◽  
Vol 8 (5) ◽  
pp. 772-783
Author(s):  
Shuiping Yang
Keyword(s):  
Theoretical Analysis ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Initial Function ◽  
Hand Function ◽  
Dependence Analysis ◽  
Neutral Delay ◽  
Neutral Delay Differential Equations ◽  
Delay Differential ◽  
Theoretical Results

AbstractIn this paper, we discuss the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional neutral delay differential equations (FNDDEs). The corresponding theoretical results are given respectively. Furthermore, we present some numerical results that support our theoretical analysis.

Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations

2011 ◽  
Vol 3 (5) ◽  
pp. 586-597 ◽  
Author(s):  
Shuiping Yang ◽  
Aiguo Xiao ◽  
Xinyuan Pan
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Initial Function ◽  
Hand Function ◽  
Dependence Analysis ◽  
Numerical Examples ◽  
Fractional Delay ◽  
Delay Differential ◽  
Fractional Delay Differential Equations ◽  
Theoretical Results

AbstractIn this paper, we investigate the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional delay differential equations (FDDEs) with the Caputo fractional derivative. Some results including an estimate of the solutions of FDDEs are given respectively. Theoretical results are verified by some numerical examples.

scholarly journals Stability of Runge-Kutta Methods for Neutral Delay Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Liping Wen ◽  
Xiong Liu ◽  
Yuexin Yu
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Numerical Stability ◽  
Neutral Delay ◽  
Numerical Examples ◽  
Neutral Delay Differential Equations ◽  
Runge Kutta ◽  
Delay Differential ◽  
Stability Results ◽  
Theoretical Results

This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for(k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results.

scholarly journals Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Fatima N. Ahmed ◽  
Rokiah Rozita Ahmad ◽  
Ummul Khair Salma Din ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Variable Coefficients ◽  
Oscillatory Behaviour ◽  
Neutral Delay ◽  
Neutral Equations ◽  
First Order ◽  
All Solutions ◽  
Neutral Delay Differential Equations ◽  
Delay Differential

We study the oscillatory behaviour of all solutions of first-order neutral equations with variable coefficients. The obtained results extend and improve some of the well-known results in the literature. Some examples are given to show the evidence of our new results.

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