Fractional difference inequalities of Gronwall-Bellman type

  • G. V. S. R. Deekshitulu Department of Mathematics, JNTU Kakinada, Kakinada - 533003, Andhra, Pradesh
  • J. Jagan Mohan Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore - 632014, Tamil Nadu
Keywords: Inequalities, fractional order, explicit bounds

Abstract

Discrete inequalities, in particular the discrete analogues of the Gronwall–Bellman inequality, have been extensively used in the analysis of nite difference equations. The aim of the present paper is to establish some fractional difference inequalities of Gronwall–Bellman type which provide explicit bounds for the solutions of fractional difference equations.

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Published
2013-06-12
Section
Articles