Opuscula Math. 31, no. 3 (2011), 433-442
http://dx.doi.org/10.7494/OpMath.2011.31.3.433
Opuscula Mathematica
Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments
Sotiris K. Ntouyas
Guotao Wang
Lihong Zhang
Abstract. In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments. By applying some known fixed point theorems, sufficient conditions for the existence and uniqueness of positive solutions are established.
Keywords: positive solution, advanced arguments, fractional differential equations, superlinear (sublinear) condition, uniqueness.
Mathematics Subject Classification: 34A08, 34B18, 34K37.
- Sotiris K. Ntouyas
- University of Ioannina, Department of Mathematics, 451 10 Ioannina, Greece
- Guotao Wang
- Shanxi Normal University Linfen, School of Mathematics and Computer Science, Shanxi 041004, P.R. China
- Lihong Zhang
- Shanxi Normal University Linfen, School of Mathematics and Computer Science, Shanxi 041004, P.R. China
- Received: 2010-08-08.
- Revised: 2010-11-12.
- Accepted: 2010-11-16.
