Existence of solutions for a sequential fractional differential system with coupled boundary conditions

Jiang, J.; Liu, Lishan

doi:10.1186/s13661-016-0666-8

Access Status

Open access via publisher

Authors

Jiang, J.

Liu, Lishan

Date

2016

Type

Journal Article

Metadata

Show full item record

Citation

Jiang, J. and Liu, L. 2016. Existence of solutions for a sequential fractional differential system with coupled boundary conditions. Boundary Value Problems. 2016 (1).

Source Title

Boundary Value Problems

DOI

10.1186/s13661-016-0666-8

ISSN

1687-2762

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52165

Collection

Curtin Research Publications

Abstract

© 2016, Jiang and Liu.This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. Two examples are then given to demonstrate the validity of our main results.