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On the ‘bang-bang’ principle for a class of fractional semilinear evolution inclusions

Published online by Cambridge University Press:  20 March 2014

Xiaoyou Liu  and
Zhenhai Liu
Xiaoyou Liu
Affiliation:
College of Sciences, Guangxi University for Nationalities, Nanning 530006, Guangxi, People's Republic of China and School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, Hunan, People's Republic of China, ([email protected])
Zhenhai Liu
Affiliation:
College of Sciences, Guangxi University for Nationalities, Nanning 530006, Guangxi, People's Republic of China, ([email protected])
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Abstract

In this paper, we study the problem of the existence of solutions for a class of fractional semilinear evolution inclusions with non-convex right-hand side. We mainly focus on the existence of the extreme solution and the relationship of the solution sets between the original problem and the convexified problem. An example is provided to illustrate the application of the obtained theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 333 - 349
Copyright
Copyright © Royal Society of Edinburgh 2014 

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