%0 Journal Article %T The -Fractional Analogue for Gronwall-Type Inequality %A Thabet Abdeljawad %A Jehad O. Alzabut %J Journal of Function Spaces %D 2013 %R 10.1155/2013/543839 %X 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. %U http://www.hindawi.com/journals/jfs/2013/543839/