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Variational Lyapunov method for fractional differential equations
- Source :
-
Computers & Mathematics with Applications . Nov2012, Vol. 64 Issue 10, p2982-2989. 8p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper the variational Lyapunov method is developed for Caputo fractional differential equations. Further, the comparison theorems are proved with a relaxed hypothesis: the assumption of local Holder continuity is relaxed to continuity of the functions involved in the Riemann–Liouville fractional differential equations. In this process the Grünwald–Letnikov derivative is used to define Dini derivatives. Also, a relation between ordinary and fractional differential equations is given. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 64
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 82904978
- Full Text :
- https://doi.org/10.1016/j.camwa.2012.01.070