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Stability of linear nabla fractional difference equations

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Stability of linear nabla fractional difference equations

Abstract

Stability of linear nabla fractional difference equations

참고문헌 (13)

  1. Elaydi, S., "An Introduction to Difference Equations, Undergraduate Texts in Mathematics" (2005), Springer
  2. Ferhan M. Atici, "Gronwalls inequality on discrete fractional calculus", Computers and Mathematics with Applications, 64, pp.3193~3200 (2012)
  3. Ferhan M. Atici, "Linear systems of nabla fractional difference equations", Rocky Mountain Journal of Mathematics, 41(2), pp.353~370 (2011)
  4. George A. Anastassiou, "Nabla discrete fractional calculus and nabla inequalities", Mathematical and Computer Modelling, 51, pp.562~571 (2010)
  5. H.L. Gray, "On a new definition of the fractional difference", Mathematics of Com-putaion, 50(182), pp.513~529 (1988)
  6. I. Podlubny, "Fractional differential equations" (1999), Academic Press
  7. J. Hein, "Laplace transforms for the nabla difference operator", Pan American Mathematical Journal, 21(3), pp.79~96 (2011)
  8. Jaganmohan Jonnalagadda, "Solutions of Perturbed Linear Nabla Fractional Difference Equations", Differential Equations and Dynamical Systems, 22(3), pp.281~292 (2014), Springer Nature[DOI]
  9. Jan Čermák, "Stability and asymptotic properties of a linear fractional difference equation", Advances in Difference Equations, 2012(1), pp.122~ (2012), Springer Nature[DOI]
  10. K.S. Miller, "Fractional difference calculus", Proceedings of the International Symposium on Univalent Functions, Fractional Calculus and Their Applications, pp.139~152 (1989), Nihon University
  11. M. Bohner, "Dynamic Equations on Time Scales" (2001), Birkhauser
  12. Thabet Abdeljawad, "On Riemann and Caputo fractional differences", Computers and Mathematics with Applications, 62, pp.1602~1611 (2011)
  13. Thabet Abdeljawad, "On the de nitions of nabla fractional operators", Abstract and Applied Analysis, 2012[DOI]

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