When do fractional differential equations have bounded solutions? Dr Chris Tisdell Live Stream
Автор: Dr Chris Tisdell
Загружено: 2016-03-14
Просмотров: 2447
``Although fractional differential equations are centuries old, it is surprising to discover that much of the basic qualitative and quantitative foundational theory is yet to be fully developed" \cite{CCT}. This work addresses the following questions:
What are sufficient conditions under which fractional differential equations will have bounds on its solutions?
What are sufficient conditions under which fractional differential equations will have at least one solution?
This presentation features new research that will be published by the Electronic Journal of Differential Equations.
Electron. J. Diff. Equ., Vol. 2016 (2016), No. 84, pp. 1-9.
Basic existence and a priori bound results for solutions to systems of boundary value problems for fractional differential equations
http://ejde.math.txstate.edu/Volumes/...
References: (I forgot to show this in the vid)
[1] Aguila–Camacho, Norelys; Duarte–Mermoud, Manuel
A.; Gallegos, Javier A. Lyapunov functions for
fractional order systems. Commun. Nonlinear Sci.
Numer. Simul. 19 (2014), no. 9, 2951–2957.
Free ebook http://tinyurl.com/EngMathYT
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