New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Some new Gronwall-Bellman type inequalities are presented in this paper.
Based on these inequalities, new explicit bounds for the related unknown functions are derived.
The inequalities established can also be used as a handy tool in the research of qualitative as well as quantitative analysis for solutions to some fractional differential equations defined in the sense of the modified Riemann-Liouville fractional derivative.
For illustrating the validity of the results established, we present some applications for them, in which the boundedness, uniqueness, and continuous dependence on the initial value for the solutions to some certain fractional differential and integral equations are investigated.
American Psychological Association (APA)
Zheng, Bin& Feng, Qinghua. 2013. New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-491983
Modern Language Association (MLA)
Zheng, Bin& Feng, Qinghua. New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-491983
American Medical Association (AMA)
Zheng, Bin& Feng, Qinghua. New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-491983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491983