Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions

Liu, B.; Li, J.; Liu, Lishan; Wang, Y.

doi:10.1186/s13662-018-1762-0

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Authors

Liu, B.

Li, J.

Liu, Lishan

Wang, Y.

Date

2018

Type

Journal Article

Metadata

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Citation

Liu, B. and Li, J. and Liu, L. and Wang, Y. 2018. Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions. Advances in Difference Equations. 2018 (1).

Source Title

Advances in Difference Equations

DOI

10.1186/s13662-018-1762-0

ISSN

1687-1839

School

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

URI

http://hdl.handle.net/20.500.11937/72367

Collection

Curtin Research Publications

Abstract

© 2018, The Author(s). This paper studies a system of fractional differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray–Schauder topological degree. Two examples are set up to testify the validity of the main results.