Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The periodic boundary value problem is discussed for a class of fractional evolution equations.
The existence and uniqueness results of mild solutions for the associated linear fractional evolution equations are established, and the spectral radius of resolvent operator is accurately estimated.
With the aid of the estimation, the existence and uniqueness results of positive mild solutions are obtained by using the monotone iterative technique.
As an application that illustrates the abstract results, an example is given.
American Psychological Association (APA)
Mu, Jia& Fan, Hongxia. 2012. Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993559
Modern Language Association (MLA)
Mu, Jia& Fan, Hongxia. Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993559
American Medical Association (AMA)
Mu, Jia& Fan, Hongxia. Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993559