Positive Solutions for the Initial Value Problem of Fractional Evolution Equations-Reference-Cited by-同舟云学术

Positive Solutions for the Initial Value Problem of Fractional Evolution Equations

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yang He¹,Liang Yue²

Affiliation:

1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

2. Science College, Gansu Agricultural University, Lanzhou 730070, China

Abstract

By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. As an example, we study the partial differential equation of the parabolic type of fractional order.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/428793.pdf

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3. Preface

4. The Analysis of Fractional Differential Equations

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