On New Existence Results for Fractional Differential Equations in Quaternionic Analysis

被引：0
|
作者：
Zhan-Peng Yang
Tian-Zhou Xu
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
来源：
Advances in Applied Clifford Algebras | 2015年 / 25卷
关键词：
Fractional differential equation; regular function; fixed point; associated operator; quaternionic analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish sufficient conditions for the existence of solutions for the initial value problem of fractional differential equations. We consider the initial value problem in the space of Helmholtz-type generalized regular functions in the sense of quaternionic analysis. The results are obtained by the application of the method of associated spaces and the fixed point theorem. An example is provide to illustrate results.
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页码：733 / 740
页数：7
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