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

Part of: Functional-differential and differential-difference equations General theory in ordinary differential equations

Published online by Cambridge University Press:  08 July 2016

Shuiping Yang
Shuiping Yang*
Affiliation:
Department of Mathematics, Huizhou University, Guangdong 516007, China
*
*Corresponding author. Email:[email protected] (S. P. Yang)
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Abstract

In 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.

Keywords

Fractional neutral delay differential equationsCaputo fractional derivativedependence

MSC classification

Secondary: 34A08: Fractional differential equations 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 34K40: Neutral equations
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 5 , October 2016 , pp. 772 - 783
Copyright
Copyright © Global-Science Press 2016 

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