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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