Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
| Hi-index | 0.09 |
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 C"p continuity of the functions involved in the Riemann-Liouville fractional differential equations. In this process the Grunwald-Letnikov derivative is used to define Dini derivatives. Also, a relation between ordinary and fractional differential equations is given.