10.1186/2251-7456-6-69

Some new fractional difference inequalities of Gronwall-Bellman type

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  • Gunturu Venkata Sita Rama Deekshitulu*1,
  • Jonnalagadda Jagan Mohan1,
  1. Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, 632014, IN

Published in Issue 2012-12-10

How to Cite

Deekshitulu, G. V. S. R., & Mohan, J. J. (2012). Some new fractional difference inequalities of Gronwall-Bellman type. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-69
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Abstract

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

Keywords

  • Difference equations,
  • Fractional order,
  • Inequalities,
  • Initial value problem
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References

  1. Podlubny (1999) Academic
  2. Diaz and Osler (1974) Differences of fractional order (pp. 185-201) https://doi.org/10.2307/2005825
  3. Hirota (2000) Science-sha
  4. Nagai (2003) An integrable mapping with fractional difference (pp. 2181-2183) https://doi.org/10.1143/JPSJ.72.2181
  5. Deekshitulu and Jagan Mohan (2010) Fractional difference inequalities 14(1) (pp. 89-98)
  6. Deekshitulu and Jagan Mohan (2010) Fractional difference inequalities of Bihari type 14(4) (pp. 343-354)
  7. Deekshitulu and Jagan Mohan (2011) Fractional difference inequalities of Volterra type 70(2) (pp. 137-149)
  8. Deekshitulu and Jagan Mohan (2012) Fractional difference inequalities of Opial type and initial value problem 2(1) (pp. 73-86)
  9. Deekshitulu and Jagan Mohan (2012) Monotone iterative technique for difference equations of fractional order 2(2) (pp. 1-9)
  10. Deekshitulu and Mohan Jagan (2012) Some new fractional difference inequalities (pp. 403-412) Springer
  11. Pachpatte (2002) Marcel Dekker
  12. Agarwal (1992) Marcel Dekker
  13. Gray and Zhang (1988) On a new definition of the fractional difference (pp. 513-529) https://doi.org/10.1090/S0025-5718-1988-0929549-2