Approximate controllability of neutral integrodifferential inclusions via resolvent operators

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Approximate controllability of neutral integrodifferential inclusions via resolvent operators

Approximate controllability of neutral integrodifferential inclusions via resolvent operators

Pages : 1206-1228

View : 17 | Download : 16

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :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.
Keywords : Approximate controllability, integrodifferential inclusions, analytic semigroup, resolvent operator, nonlocal conditions

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