A NON-LOCAL PROBLEM FOR A DIFFERENTIAL EQUATION OF FRACTIONAL ORDER

作者:Misenheimer Nick*; Kosmatov Nickolai
来源:Dynamic Systems and Applications, 2014, 23(2-3): 155-161.

摘要

We discuss the existence and uniqueness of a solution to the non-local problem for a fractional differential equation
D-0+(alpha) u(t) = f(t, u(t)), a. e. in (0,1),
I(0+)(1-alpha)u(0) = beta I(c+)(1-alpha)u(xi),
using the contraction principle and a continuation method.

  • 出版日期2014-9