Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators

Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators

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Article ID: iaor20131984
Volume: 156
Issue: 1
Start Page Number: 79
End Page Number: 95
Publication Date: Jan 2013
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: control
Abstract:

The paper is concerned with the controllability of fractional functional evolution equations of Sobolev type in Banach spaces. With the help of two new characteristic solution operators and their properties, such as boundedness and compactness, we present the controllability results corresponding to two admissible control sets via the well‐known Schauder fixed point theorem. Finally, an example is given to illustrate our theoretical results.

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