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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)
- Elaydi, S., "An Introduction to Difference Equations, Undergraduate Texts in Mathematics" (2005), Springer
- Ferhan M. Atici, "Gronwalls inequality on discrete fractional calculus", Computers and Mathematics with Applications, 64, pp.3193~3200 (2012)
- Ferhan M. Atici, "Linear systems of nabla fractional difference equations", Rocky Mountain Journal of Mathematics, 41(2), pp.353~370 (2011)
- George A. Anastassiou, "Nabla discrete fractional calculus and nabla inequalities", Mathematical and Computer Modelling, 51, pp.562~571 (2010)
- H.L. Gray, "On a new definition of the fractional difference", Mathematics of Com-putaion, 50(182), pp.513~529 (1988)
- I. Podlubny, "Fractional differential equations" (1999), Academic Press
- J. Hein, "Laplace transforms for the nabla difference operator", Pan American Mathematical Journal, 21(3), pp.79~96 (2011)
- Jaganmohan Jonnalagadda, "Solutions of Perturbed Linear Nabla Fractional Difference Equations", Differential Equations and Dynamical Systems, 22(3), pp.281~292 (2014), Springer Nature[DOI]
- Jan Čermák, "Stability and asymptotic properties of a linear fractional difference equation", Advances in Difference Equations, 2012(1), pp.122~ (2012), Springer Nature[DOI]
- 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
- M. Bohner, "Dynamic Equations on Time Scales" (2001), Birkhauser
- Thabet Abdeljawad, "On Riemann and Caputo fractional differences", Computers and Mathematics with Applications, 62, pp.1602~1611 (2011)
- Thabet Abdeljawad, "On the denitions of nabla fractional operators", Abstract and Applied Analysis, 2012[DOI]
관련 논문AI추천
Mittag-Leffler stability of systems of fractional nabla difference equationsJaganmohan Jonnalagadda, Paul Eloe대한수학회 · 대한수학회보2019 · 제56권 제4호Global asymptotic stability of a higher order difference equationAlaa E. Hamza, R. Khalaf-Allah대한수학회 · 대한수학회보2007 · 제44권 제3호Asymptotic Behaviors for Linear Difference Systems임동만, Yoon Hoe Goo한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호Asymptotic behavior of nonlinear Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2007 · 제44권 제1호Exponential stability of a class of nonlinear difference equations in Banach spacesHieu Trinh, Le Van Hien, Nguyen Sinh Bay대한수학회 · 대한수학회논문집2017 · 제32권 제4호Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time ScalesSamir H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호
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