Controllability of Impulsive Fractional Functional Evolution Equations with Infinite State-Dependent Delay in Banach Spaces

2018 ◽  
Author(s):  
Djihad Aimene ◽  
Djamila Seba ◽  
Karima Laoubi
Keyword(s):  
Banach Spaces ◽  
Evolution Equations ◽  
Functional Evolution ◽  
State Dependent ◽  
State Dependent Delay ◽  
Infinite State ◽  
Fractional Functional

scholarly journals Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Abdessalam Baliki ◽  
Mouffak Benchohra
Keyword(s):  
Banach Space ◽  
Global Existence ◽  
Evolution Equations ◽  
Mild Solutions ◽  
Functional Evolution ◽  
State Dependent ◽  
State Dependent Delay ◽  
Existence And Stability ◽  
Semilinear Evolution Equations

AbstractIn this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.

scholarly journals A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

2021 ◽  
Vol 5 (3) ◽  
pp. 126
Author(s):  
Shahram Rezapour ◽  
Hernán R. Henríquez ◽  
Velusamy Vijayakumar ◽  
Kottakkaran Sooppy Nisar ◽  
Anurag Shukla
Keyword(s):  
Differential Evolution ◽  
Evolution Equations ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Second Order ◽  
State Dependent ◽  
Retarded Functional Differential Equations ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Infinite State

This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay. In the first part, we are concerned with second-order abstract non-autonomous integro-differential retarded functional differential equations with infinite state-dependent delay. In the second part, we extend our results to study the second-order abstract neutral integro-differential evolution equations with state-dependent delay. Our results are established using properties of the resolvent operator corresponding to the second-order abstract non-autonomous integro-differential equation and fixed point theorems. Finally, an application is presented to illustrate the theory obtained.

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

On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces

2017 ◽  
Vol 151 (1-4) ◽  
pp. 109-133
Author(s):  
S. Kailasavalli ◽  
S. Suganya ◽  
M. Mallika Arjunan
Keyword(s):  
Banach Spaces ◽  
Differential Systems ◽  
State Dependent ◽  
State Dependent Delay
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