Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 10, No 4, (2007), 375p-398p
Abstract:
In this paper we study the generalized Riemann-Liouville (resp. Caputo)
time fractional evolution equation in infinite dimensions. We show that the
explicit solution is given as the convolution between the initial condition
and a generalized function related to the Mittag-Leffler function.
The fundamental solution corresponding to the Riemann-Liouville time fractional
evolution equation does not admit a probabilistic representation while for
the Caputo time fractional evolution equation it is related to the inverse
stable subordinators.
