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Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay

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Published/Copyright: October 29, 2018

Abstract

This paper discusses the existence and controllability of a class of fractional order evolution inclusions with time-varying delay. In the weak topology setting we establish the existence of solutions. Then the controllability of this system with a nonlocal condition is established by applying the Glicksberg-Ky Fan fixed point theorem. As an application, nonlocal problems of a fractional reaction-diffusion equation with a discontinuous nonlinear term is examined.

Acknowledgements

The first author was partially supported by the National Natural Science Foundation of China (No. 11401042, 11301541).

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Received: 2017-12-23
Published Online: 2018-10-29
Published in Print: 2018-08-28

© 2018 Diogenes Co., Sofia

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