IJPAM: Volume 62, No. 4 (2010)
EXISTENCE RESULTS FOR FRACTIONAL
DIFFERENTIAL EQUATIONS WITH
NONLINEAR BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS WITH
NONLINEAR BOUNDARY CONDITIONS
Baili Chen
Department of Mathematics and Computer Science
Gustavus Adolphus College
800, West College Avenue, St. Peter, MN 56082-1498, USA
e-mail: bchen@gustavus.edu
Department of Mathematics and Computer Science
Gustavus Adolphus College
800, West College Avenue, St. Peter, MN 56082-1498, USA
e-mail: bchen@gustavus.edu
Abstract.In this paper, we establish the existence of a positive solution to a nonlinear fractional differential equation with nonlinear boundary conditions by means of a fixed point theorem in a cone.
Received: June 22, 2010
AMS Subject Classification: 34B15, 26A33, 34A08
Key Words and Phrases: boundary value problem, fractional derivative, nonlinear boundary conditions, positive solution, fixed-point theorem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 4