Modification of the application of a contraction mapping method on a class of fractional differential equation

摘要

This letter discusses an application of a modified contraction mapping method to the proof of a global existence and uniqueness theorem of a Cauchy problem for some version of differential equation of fractional order in Banach space. An essential condition in such applications which have previously been considered in many literatures will be dispensed with. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 5]