Analysis of fractional order differential coupled systems

摘要

In this paper, we investigate the existence of solutions to nonlinear fractional order differential coupled systems with the classical nonlocal initial conditions. We introduce a useful vector norm, named. beta.B-vector norm, which is not only a novelty but also provides another way to deal with a large number of problems not limit to integer and noninteger differential systems and singular integral systems. Copyright (C) 2014 John Wiley & Sons, Ltd.