Existence and uniqueness of holomorphic solutions for fractional Cauchy problem

被引：26

作者：

Ibrahim, Rabha W.

机构：

[1] School of Mathematical Sciences, Faculty of Sciences and Technology, UKM

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 380卷 / 01期

关键词：

Fractional calculus; Fractional differential operator; Fractional integral operator; Majorant function; Fractional Cauchy problem in complex domain; Holomorphic solution; Riemann-Liouville operators; DIFFERENTIAL-EQUATIONS; SUPERORDINATION; SUBORDINATION; OPERATOR;

D O I：

10.1016/j.jmaa.2011.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing majorant functions, the existence and uniqueness of holomorphic solutions to nonlinear fractional partial differential equations (the Cauchy problems) are introduced. Furthermore, the analytic continuation of solutions is studied. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：232 / 240

页数：9

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