The -Fractional Analogue for Gronwall-Type Inequality
We utilize -fractional Caputo initial value problems of order to derive a -analogue for Gronwall-type inequality. Some particular cases are derived where -Mittag-Leffler functions and -exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
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Main Authors: | Thabet Abdeljawad, Jehad O. Alzabut |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/543839 |
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