Electron. J. Diff. Equ., Vol. 2012 (2012), No. 100, pp. 1-13.

Method of upper and lower solutions for fractional differential equations

Legang Lin, Xiping Liu, Haiqin Fang

Abstract:
In this paper, we show the existence and uniqueness of solutions for the boundary-value problems of fractional differential equations, using the upper and lower solutions method and monotone iterative algorithm. An example is also included to illustrate our results.

Submitted May 4, 2012. Published June 12, 2012.
Math Subject Classifications: 34B15, 26A33.
Key Words: Fractional differential equations; boundary-value problems; upper and lower solutions; monotone iterative algorithm.

Show me the PDF file (234 KB), TEX file, and other files for this article.

Legang Lin
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: llg870830@163.com
Xiping Liu
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: xipingliu@163.com
Haiqin Fang
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: 244307094@qq.com

Return to the EJDE web page