A reproducing kernel method for solving nonlocal fractional boundary value problems

作者：Geng Fazhan^*; Cui Minggen

来源：Applied Mathematics Letters, 2012, 25(5): 818-823.

DOI：10.1016/j.aml.2011.10.025

• Reproducing kernel method
• Fractional differential equations
• Nonlocal boundary value problems
• Series solutions

In our previous works, we proposed a reproducing kernel method for solving singular and nonsingular boundary value problems of integer order based on the reproducing kernel theory. In this letter, we shall expand the application of reproducing kernel theory to fractional differential equations and present an algorithm for solving nonlocal fractional boundary value problems. The results from numerical examples show that the present method is simple and effective.

• 出版日期2012-5
• 单位常熟理工学院