Positive Solutions for the Initial Value Problem of Fractional Evolution Equations. (30th March 2013)

• Record Type: Journal Article
• Authors: Yang, He; Liang, Yue
• Other Names: Chun Changbum Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-03-30
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/428793
• Languages: English
• ISSNs: 1085-3375

Abstract

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.