The q-Fractional Analogue for Gronwall-Type Inequality

Joint Authors

Alzabut, Jehad O.
Abdeljawad (Maraaba), T.

Source

Journal of Function Spaces and Applications

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

Mathematics

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 and Applications،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-480238

Modern Language Association (MLA)

Abdeljawad (Maraaba), T.& Alzabut, Jehad O.. The q-Fractional Analogue for Gronwall-Type Inequality. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-480238

American Medical Association (AMA)

Abdeljawad (Maraaba), T.& Alzabut, Jehad O.. The q-Fractional Analogue for Gronwall-Type Inequality. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-480238

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-480238