The q-Fractional Analogue for Gronwall-Type Inequality
Joint Authors
Alzabut, Jehad O.
Abdeljawad (Maraaba), T.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We utilize q-fractional Caputo initial value problems of order 0<α≤1 to derive a q-analogue for Gronwall-type inequality.
Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used.
An example is given to illustrate the validity of the derived inequality.
American Psychological Association (APA)
Abdeljawad (Maraaba), T.& Alzabut, Jehad O.. 2013. The q-Fractional Analogue for Gronwall-Type Inequality. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006112
Modern Language Association (MLA)
Abdeljawad (Maraaba), T.& Alzabut, Jehad O.. The q-Fractional Analogue for Gronwall-Type Inequality. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006112
American Medical Association (AMA)
Abdeljawad (Maraaba), T.& Alzabut, Jehad O.. The q-Fractional Analogue for Gronwall-Type Inequality. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006112