Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces

By Nazim Idrisoglu Mahmudov. 2013

58 citations recorded by the source corpus.

We discuss the approximate controllability of semilinear fractional Sobolev-type differential system under the assumption that the corresponding linear system is approximately controllable. Using Schauder fixed point theorem, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional Sobolev-type differential equations, are formulated and proved. We show that our result has no analogue for the concept of complete controllability. The results of the paper are generalization and continuation of the recent results on this issue.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e284f2ee2db5e68a94d54975592a9c2cddda9cbc

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In Applied Mathematics

1. Yong-Kui Chang
2. Rodrigo Ponce
3. Carlos Lizama
4. M. Mallika Arjunan
5. Subramaniam Selvi
6. V. Vijayakumar

In Control and Systems Engineering

1. Yong-Kui Chang
2. Rodrigo Ponce
3. M. Mallika Arjunan
4. Subramaniam Selvi

In Modeling and Simulation

1. Yong-Kui Chang
2. Rodrigo Ponce
3. Carlos Lizama

Citations in the corpus

• Approximate controllability for fractional differential equations of sobolev type via properties on resolvent operators (2017, background): “1) have been obtained, for instance in [4, 9, 11, 13, 14, 19, 24, 27] and the references therein.”