Some theorems on fractional semilinear evolution equations

被引：12
|
作者：
Tidke, Haribhau L. [1 ]
机构：
[1] North Maharashtra Univ, Sch Math Sci, Dept Math, Jalgaon 425001, India
来源：
JOURNAL OF APPLIED ANALYSIS | 2012年 / 18卷 / 02期
关键词：
Existence of solution; evolution equation; fractional calculus; continuous dependence; Hernandez's inequality;
D O I：
10.1515/jaa-2012-0014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence, uniqueness and other properties of solutions of fractional semilinear evolution equations in Banach spaces. The results are obtained by using fractional calculus, the well-known Banach fixed point theorem coupled with Bielecki type norm and the integral inequality established by E. Hernandez.
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页码：209 / 224
页数：16
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