Approximate Controllability of Stochastic Fractional Neutral Impulsive Integrodifferential Systems with State Dependent Delay and Poisson Jumps

2019 ◽  
Vol 8 (3) ◽  
pp. 383-406
Author(s):  
S. Selvarasu ◽  
M. Mallika Arjunan
Keyword(s):  
Approximate Controllability ◽  
Poisson Jumps ◽  
State Dependent ◽  
State Dependent Delay

scholarly journals Approximate controllability of second order impulsive systems with state-dependent delay in banach spaces

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Soniya Singh ◽  
◽  
Sumit Arora ◽  
Manil T. Mohan ◽  
Jaydev Dabas ◽  
...  
Keyword(s):  
Banach Spaces ◽  
Approximate Controllability ◽  
Second Order ◽  
Impulsive Systems ◽  
State Dependent ◽  
State Dependent Delay

Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces

2018 ◽  
Vol 36 (2) ◽  
pp. 603-622 ◽  
Author(s):  
Yong Zhou ◽  
S Suganya ◽  
M Mallika Arjunan ◽  
B Ahmad
Keyword(s):  
Differential Equation ◽  
Hilbert Spaces ◽  
Approximate Controllability ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Integro Differential Equation ◽  
State Dependent ◽  
State Dependent Delay ◽  
Non Linear ◽  
Approximately Controllable

Abstract In this paper, the problem of approximate controllability for non-linear impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces is investigated. We study the approximate controllability for non-linear impulsive integro-differential systems under the assumption that the corresponding linear control system is approximately controllable. By utilizing the methods of fractional calculus, semigroup theory, fixed-point theorem coupled with solution operator, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the proposed theory.

scholarly journals Approximate controllability of impulsive system involving state-dependent delay and variable delay in control via fundamental solution

Filomat ◽  
2020 ◽  
Vol 34 (7) ◽  
pp. 2293-2313
Author(s):  
Syed Abdal ◽  
Surendra Kumar
Keyword(s):  
Fundamental Solution ◽  
Hilbert Spaces ◽  
Approximate Controllability ◽  
Sufficient Conditions ◽  
Impulsive System ◽  
Variable Delay ◽  
New Class ◽  
State Dependent ◽  
Semilinear Control Systems ◽  
State Dependent Delay

This article is concerned with the approximate controllability for a new class of impulsive semilinear control systems involving state-dependent delay and variable delay in control in Hilbert spaces. We formulate new sufficient conditions which guarantee the existence of solution to the considered system. We use the theory of fundamental solution, Krasnoselskii?s and Schauder?s fixed point theorems to establish our major results. Finally, two examples are constructed which demonstrate the effectiveness of obtained results.

Sign in / Sign up

Export Citation Format

Share Document