q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order-Reference-Cited by-同舟云学术

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q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order

Published:2018-03-05 Issue:1 Volume:2018 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Li Xiaoyan,Liu Song,Jiang Wei

Funder

National Nature Science Foundation of China

Natural Science Research Project of Colleges of Anhui Province

Natural Science Foundation of Anhui Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-018-1502-5.pdf

Reference21 articles.

1. Al-Salam, W.A.: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15, 135–140 (1969)

2. Al-Salam, W.A., Verma, A.: A fractional Leibniz q-formula. Pac. J. Math. 60, 1–9 (1975)

3. Al-Salam, W.A.: q-Analogues of Cauchy’s formula. Proc. Am. Math. Soc. 17, 182–184 (1952-1953)

4. Agrawal, R.P.: Certain fractional q-integrals and q-derivatives. Proc. Camb. Philos. Soc. 66, 365–370 (1969)

5. Abdeljawad, T., Baleanu, D.: Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function. Commun. Nonlinear Sci. Numer. Simul. 16(12), 4682–4688 (2011)

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