Optimal controllability of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators

2020 ◽  
Vol 159 ◽  
pp. 102828
Author(s):  
Zuomao Yan ◽  
Qiong Yang
Keyword(s):  
Differential Systems ◽  
Sectorial Operators

scholarly journals Approximate Controllability of Fractional Nonlinear Hybrid Differential Systems via Resolvent Operators

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Mohammed M. Matar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential System ◽  
Point Theorem ◽  
Approximate Controllability ◽  
Sufficient Conditions ◽  
Resolvent Operators ◽  
Differential Systems ◽  
Sectorial Operators ◽  
Nonlinear Hybrid

We obtain sufficient conditions for the approximate controllability of a fractional nonlinear hybrid differential system. The results are obtained by using resolvent and sectorial operators technique via Dhage fixed point theorem.

Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Zuomao Yan ◽  
Yong-Hui Zhou
Keyword(s):  
Hilbert Spaces ◽  
Measure Of Noncompactness ◽  
Optimization Problems ◽  
Sufficient Conditions ◽  
Exact Controllability ◽  
Differential Systems ◽  
New Class ◽  
Sectorial Operators ◽  
State Dependent ◽  
State Dependent Delay

AbstractIn this paper, we consider the optimization problems of exact controllability for a new class of fractional impulsive partial stochastic differential systems with state-dependent delay in Hilbert spaces. By utilizing suitable fixed point approach without imposing severe compactness condition on the operators, the theory of analytic sectorial operators, stochastic analysis, and the Hausdorff measure of noncompactness, some sufficient conditions are derived for achieving the required results. Finally, an example is provided to illustrate the obtained theory.

LYAPUNOV VECTORS TREATMENT FOR BIFURCATIONS IN RETARDED DIFFERENTIAL SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-389-C2-392 ◽  
Author(s):  
M. LE BERRE ◽  
E. RESSAYRE ◽  
A. TALLET ◽  
J. J. ZONDY
Keyword(s):  
Differential Systems
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