ON THE FRACTIONAL MEAN-VALUE THEOREM

2012 ◽  
Vol 22 (05) ◽  
pp. 1250104 ◽  
Author(s):  
PENG GUO ◽  
CHANGPIN LI ◽  
GUANRONG CHEN

In this paper, we derive a fractional mean-value theorem both in the sense of Riemann–Liouville and in the sense of Caputo. This new formulation is more general than the generalized Taylor's formula of Kolwankar and the fractional mean-value theorem in the sense of Riemann–Liouville developed by Trujillo.

2007 ◽  
Vol 186 (1) ◽  
pp. 286-293 ◽  
Author(s):  
Zaid M. Odibat ◽  
Nabil T. Shawagfeh

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