Approximate controllability results for neutral stochastic integrodifferential equations of Sobolev type with unbounded delay via resolvent operators

2020 ◽  
Vol 10 (3) ◽  
pp. 268
Author(s):  
R. Murugesu ◽  
R. Nirmalkumar
Keyword(s):  
Approximate Controllability ◽  
Integrodifferential Equations ◽  
Sobolev Type ◽  
Resolvent Operators ◽  
Unbounded Delay

Approximate controllability for fractional differential equations of sobolev type via properties on resolvent operators

2017 ◽  
Vol 20 (4) ◽  
Author(s):  
Yong-Kui Chang ◽  
Aldo Pereira ◽  
Rodrigo Ponce
Keyword(s):  
Fixed Point ◽  
Fractional Derivatives ◽  
Approximate Controllability ◽  
Sobolev Type ◽  
Resolvent Operators ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Norm Continuity ◽  
Fractional Differential ◽  
Fixed Point Technique

AbstractThis paper treats the approximate controllability of fractional differential systems of Sobolev type in Banach spaces. We first characterize the properties on the norm continuity and compactness of some resolvent operators (also called solution operators). And then via the obtained properties on resolvent operators and fixed point technique, we give some approximate controllability results for Sobolev type fractional differential systems in the Caputo and Riemann-Liouville fractional derivatives with order 1 <

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

2021 ◽  
Vol 151 ◽  
pp. 111264
Author(s):  
K. Kavitha ◽  
V. Vijayakumar ◽  
Anurag Shukla ◽  
Kottakkaran Sooppy Nisar ◽  
R. Udhayakumar
Keyword(s):  
Differential Inclusions ◽  
Approximate Controllability ◽  
Clarke Subdifferential ◽  
Sobolev Type

scholarly journals Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kerboua ◽  
Amar Debbouche ◽  
Dumitru Baleanu
Keyword(s):  
Control Systems ◽  
Hilbert Spaces ◽  
Dynamic Systems ◽  
Approximate Controllability ◽  
Dynamic Control ◽  
Sufficient Conditions ◽  
Sobolev Type ◽  
Stochastic Dynamic ◽  
Deterministic Control ◽  
Stochastic Dynamic Systems

We study a class of fractional stochastic dynamic control systems of Sobolev type in Hilbert spaces. We use fixed point technique, fractional calculus, stochastic analysis, and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions for approximate controllability is formulated and proved. An example is also given to provide the obtained theory.

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