Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

被引：2
|
作者：
Sin, Chung-Sik [1 ]
In, Hyok-Chol [1 ]
Kim, Kwang-Chol [2 ]
机构：
[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea
[2] Acad Sci, Inst Mech Engn, Pyongyang, North Korea
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Fractional evolution equation; Mild solution; Three-parametric Mittag-Leffler function; C-0; semigroup; Existence and uniqueness; DIFFUSION; ORDER;
D O I：
10.1186/s13662-018-1519-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with initial value problems for the fractional evolution equations involving the Caputo fractional derivative. By deriving a property of the three-parametric Mittag-Leffler function and using the Schauder fixed point theorem, new sufficient conditions for existence and uniqueness of mild solutions are established.
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页数：13
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