Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation
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DOI:
10.1186/1687-1847-2014-150
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发表时间:
2014-05
影响因子:
4.1
通讯作者:
Fang Wang;Ping Wang
Fang Wang;Ping Wang
中科院分区:
数学3区
文献类型:
--
作者:
Fang Wang;Ping Wang

文献摘要

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本文讨论了一类具有Riemann-Liouville分数阶导数的分数阶演化方程,利用经典不动点定理得到了其温和解的存在唯一性。然后给出了一些算例来说明主要结果。MSC: 30 c45, 30 c80。
In this paper, we discuss a class of fractional evolution equations with the Riemann-Liouville fractional derivative and obtain the existence and uniqueness of mild solutions by using some classical fixed point theorem. Then we give some examples to demonstrate the main results.MSC:30C45, 30C80.