Dependence of a Nonlinear Integrodifferential System on Parameters

1975 ◽  
Vol 6 (1) ◽  
pp. 153-167
Author(s):  
T. A. Bronikowski
Keyword(s):  
Integrodifferential System ◽  
Nonlinear Integrodifferential System

scholarly journals Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Amar Debbouche ◽  
Dumitru Baleanu
Keyword(s):  
Banach Space ◽  
Strong Solutions ◽  
Existence Results ◽  
Null Controllability ◽  
Evolution System ◽  
Integrodifferential System ◽  
Exact Null Controllability ◽  
Nonlinear Integrodifferential System ◽  
Nonlocal Nonlinear ◽  
Controllability Result

We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.

scholarly journals Controllability of a damped nonlinear fractional order integrodifferential system with input delay

2021 ◽  
Author(s):  
Irshad Ahmad ◽  
Ghaus Ur Rahman ◽  
Saeed Ahmad ◽  
Nawal A. Alshehri ◽  
S.K. Alagan
Keyword(s):  
Fractional Order ◽  
Input Delay ◽  
Integrodifferential System

scholarly journals Stability Analysis ofθ-Methods for Neutral Multidelay Integrodifferential System

2007 ◽  
Vol 2007 ◽  
pp. 1-8
Author(s):  
Y. Xu ◽  
J. J. Zhao ◽  
Z. N. Sui
Keyword(s):  
Numerical Stability ◽  
Numerical Experiments ◽  
Analytic Solutions ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Neutral Delay ◽  
Integrodifferential System ◽  
System A ◽  
The Stability ◽  
Necessary And Sufficient

This paper studies the stability of a class of neutral delay integrodifferential system. A necessary and sufficient condition of stability for its analytic solutions is considered. The improvedθ-methods are developed. Some numerical stability properties are obtained and numerical experiments are given.

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