Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses

Zhu, B.; Liu, Lishan

doi:10.1186/s13661-018-1048-1

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Authors

Zhu, B.

Liu, Lishan

Date

2018

Type

Journal Article

Metadata

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Citation

Zhu, B. and Liu, L. 2018. Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses. Boundary Value Problems. 2018 (1).

Source Title

Boundary Value Problems

DOI

10.1186/s13661-018-1048-1

ISSN

1687-2762

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/70966

Collection

Curtin Research Publications

Abstract

© 2018, The Author(s). In this paper, we study periodic boundary value problems of fractional semilinear integro-differential equations with non-instantaneous impulses in Banach spaces. By the measure of noncompactness, the theory of ß-resolvent family, and the fixed point theorem, we obtain several sufficient conditions on the existence of mild solutions for such problems. Finally, an example is given to show the main results of this paper.