OICC Press Mathematical Sciences 2251-7456 6 1 2012 12 10 Some new fractional difference inequalities of Gronwall-Bellman type 10.1186/2251-7456-6-69 EN Gunturu Venkata Sita Rama Deekshitulu Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, 632014, IN Jonnalagadda Jagan Mohan Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, 632014, IN Journal Article 2012 12 10 Abstract Abstract The purpose of the present paper is to establish some important fractional difference inequalities of Gronwall-Bellman type that have a wide range of applications in the study of fractional difference equations. MSC 39A10, 39A99 Difference equations Fractional order Inequalities Initial value problem