Abstract
In this paper, we study the continuation of solutions to systems of Caputo fractional order differential equations. The continuation is constructed and proven by using the Schauder Fixed Point Theorem. As a necessary prerequisite to the continuation, the existence and uniqueness results generalized for systems are also reviewed.
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References
K. Diethelm, The Analysis of Fractional Differential Equations. Springer-Verlag, (2010).
A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations. Elsevier, (2006).
D. Bǎleanu, O.G. Mustafa, On the global existence of solutions to a class of fractional differential equations. Comput. Math. Appl. 59, No 5 (2010), 1835–1841.
Y. Li, Y.Q. Chen, I. Podlubny, Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica 50, No 8 (2009), 1965–1969.
Y. Li, Y.Q. Chen, I. Podlubny, Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-leffler stability. Comput. Math. Appl. 59, No 5 (2010), 1810–1821.
C. Li, S. Sarwar, Existence and continuation of solutions for Caputo type fractional differential equations. Electron. J. Differential Equations 2016, No 207 (2016), 1–14.
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Wu, C., Liu, X. The continuation of solutions to systems of Caputo fractional order differential equations. Fract Calc Appl Anal 23, 591–599 (2020). https://doi.org/10.1515/fca-2020-0029
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DOI: https://doi.org/10.1515/fca-2020-0029