Cilt:68 Sayı:01 (2019)

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Approximate controllability of neutral integrodifferential inclusions via resolvent operators
(Ankara Üniversitesi Fen Fakültesi, 2019-02-01) Tamilselvan, M.; Other; Other
In this work, a set of sufficient conditions are established for the approximate controllability for neutral integrodifferential inclusions in Banach spaces. The theory of fractional power and α-norm is used because of the spatial derivatives in the nonlinear term of the system. Bohnenblust-Karlin's fixed point theorem is used to prove our main results. Further, this result is extended to study the approximate controllability for nonlinear functional control system with nonlocal conditions. An example is also given to illustrate our main results.
Approximate controllability of second-order stochastic non-autonomous integrodifferential inclusions by resolvent operators
(Ankara Üniversitesi Fen Fakültesi, 2019-02-01) NİRMALKUMAR, R.; MURUGESU, R.; Other; Other
In this paper, we formulate a set of sufficient conditions for the approximate controllability for a class of second-order stochastic non-autonomous integrodifferential inclusions in Hilbert space. We establish the results with the help of resolvent operators and Bohnenblust-Karlin's fixed point theorem is to prove the main result. An application is given to illustrate the main result.