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.

引用

页码：209 / 224

页数：16

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