Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the initial value problem for a class of fractional evolution equations in a Banach space.
Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions.
An example to illustrate the applications of the main results is given.
American Psychological Association (APA)
Mu, Jia. 2011. Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-497136
Modern Language Association (MLA)
Mu, Jia. Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces. Journal of Applied Mathematics No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-497136
American Medical Association (AMA)
Mu, Jia. Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-497136
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497136