A sufficient condition for the existence of a positive solution for a nonlinear fractional differential equation with the Riemann-Liouville derivative

作者：Yang Liu^*; Zhang Weiguo; Liu Xiping

来源：Applied Mathematics Letters, 2012, 25(11): 1986-1992.

DOI：10.1016/j.aml.2012.03.018

• Fractional differential equation
• Positive solution
• Fixed point
• Cone

In this work, by means of the fixed point theorem in a cone, we establish the existence result for a positive solution to a kind of boundary value problem for a nonlinear differential equation with a Riemann-Liouville fractional order derivative. An example illustrating our main result is given. Our results extend previous work in the area of boundary value problems of nonlinear fractional differential equations [C. Goodrich, Existence of a positive solution to a class of fractional differential equations, Appl. Math. Lett. 23 (2010) 1050-1055].

• 出版日期2012-11
• 单位合肥师范学院; 上海理工大学